Question

The product of two digit number is 1080 and their Gcd is 6. calculate their Lcm​

Answer 1

✪ 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.

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✪ Verification ✪

6 × x = 1080

⇒6 × 180 = 1080

⇒1080 = 1080

So, L.H.S = R.H.S.

Hence, verified.

๑ Hope this helps you. ๑