The product of two digit number is 1080 and their Gcd is 6. calculate their Lcm
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✪ Question ✪
The product of two numbers is 1080 and their GCD is 6. Calculate their LCM.
✪ Given ✪
- Product = 1080
- GCD = 6
✪ To find ✪
The LCM.
✪ Rule ✪
Product of two number = (GCD × LCM)
✪ Solution ✪
Let their LCM be x.
According to condition,
6 × x = 1080
⇒6x = 1080
⇒x = 1080/6
⇒x = 180
✪ Hence ✪
x = 180
So, LCM = 180
✪ Therefore ✪
Their LCM is 180.
-------------------------------------------------------------
✪ Verification ✪
6 × x = 1080
⇒6 × 180 = 1080
⇒1080 = 1080
So, L.H.S = R.H.S.
Hence, verified.
๑ Hope this helps you. ๑
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