Least Common Multiple of 62/76, 912/52, 393/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/76, 912/52, 393/310 quickly i.e. 1851816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/76, 912/52, 393/310 is 1851816.

LCM(62/76, 912/52, 393/310) = 1851816

LCM of 62/76, 912/52, 393/310

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 62/76,912/52,393/310

Given numbers are 62/76,912/52,393/310

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 62,912,393

Least Common Multiple of Numerators i.e. LCM of 62,912,393 is 3703632.

GCF of Denominators means GCF of 76,52,310 as per the given fractions.

GCF of 76,52,310 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,912,393

LCM of Fractions 62/76,912/52,393/310 is 1851816

2 62, 912, 393
3 31, 456, 393
31, 152, 131

∴ So the LCM of the given numbers is 2 x 3 x 31 x 152 x 131 = 3703632

Least Common Multiple of 62,912,393 with GCF Formula

Least Common Multiple of 62,912,393 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 62,912,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,912,393) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(62,912,393) x common factors =1 x 6 = 6

LCM(62,912,393) = ( 62 × 912 × 393 ) / 6

LCM(62,912,393) = 22221792 / 6

LCM(62,912,393) = 3703632


Lets's calculate GCF of 76,52,310

2 76, 52, 310
38, 26, 155

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3703632/2

Therefore the LCM of Fractions 62/76,912/52,393/310 is 1851816

Greatest Common Factor of 76,52,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,52,310 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 76,52,310 . The biggest common factor number is the GCF number.
So the greatest common factor 76,52,310 is 2.


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Frequently Asked Questions on Fractional LCM of 62/76, 912/52, 393/310

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 62/76, 912/52, 393/310?

Answer: LCM of Numerators as per given numbers 62/76, 912/52, 393/310 is

LCM of Numerators i.e. for 62,912,393 is 3703632

GCF of denominators i.e. for 76,52,310 is 2.

Thus, LCM of Fractions is 1851816.Finally, LCM of Fractions for 62/76, 912/52, 393/310 is 1851816.