0 Deepak BoraNewbie Asked: July 29, 20202020-07-29T17:51:34+05:30 2020-07-29T17:51:34+05:30In: CBSE Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. 0 CBSE NCERT SUBJECT MATHS Share Facebook 1 Answer Voted Oldest Recent Deepak Bora Newbie 2020-07-29T17:55:30+05:30Added an answer on July 29, 2020 at 5:55 pm This answer was edited. 26 and 91 Expressing 26 and 91 as product of its prime factors, we get, 26 = 2 × 13 × 1 91 = 7 × 13 × 1 Therefore, LCM (26, 91) = 2 × 7 × 13 × 1 = 182 And HCF (26, 91) = 13 Verification Now, product of 26 and 91 = 26 × 91 = 2366 And Product of LCM and HCF = 182 × 13 = 2366 Hence, LCM × HCF = product of the 26 and 91 0 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Visual Text Save my name, email, and website in this browser for the next time I comment. Related Questions 30. A well of diameter 2 m is dug 14 m deep. The earth taken out of it ... 29. A 16 m deep well with diameter 3.5 m is dug up, and the earth from it ... 28. A path 2 m wide surrounds a circular pond of diameter 40 m. How many cubic meters ... 27. A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii ... 26. A hollow sphere of internal and external radii 2 cm and 4 cm, respectively, is melted into ...
26 and 91
Expressing 26 and 91 as product of its prime factors, we get,
26 = 2 × 13 × 1
91 = 7 × 13 × 1
Therefore, LCM (26, 91) = 2 × 7 × 13 × 1 = 182
And HCF (26, 91) = 13
Verification
Now, product of 26 and 91 = 26 × 91 = 2366
And Product of LCM and HCF = 182 × 13 = 2366
Hence, LCM × HCF = product of the 26 and 91