Least Common Multiple of 92/51, 58/12, 782/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/51, 58/12, 782/937 quickly i.e. 45356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/51, 58/12, 782/937 is 45356.

LCM(92/51, 58/12, 782/937) = 45356

LCM of 92/51, 58/12, 782/937

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 92/51,58/12,782/937

Given numbers are 92/51,58/12,782/937

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 92,58,782

Least Common Multiple of Numerators i.e. LCM of 92,58,782 is 45356.

GCF of Denominators means GCF of 51,12,937 as per the given fractions.

GCF of 51,12,937 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,58,782

LCM of Fractions 92/51,58/12,782/937 is 45356

2 92, 58, 782
23 46, 29, 391
2, 29, 17

∴ So the LCM of the given numbers is 2 x 23 x 2 x 29 x 17 = 45356

Least Common Multiple of 92,58,782 with GCF Formula

Least Common Multiple of 92,58,782 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 92,58,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,58,782) = 2

common factors(in case of two or more numbers have common factors) = 46

GCF(92,58,782) x common factors =2 x 46 = 92

LCM(92,58,782) = ( 92 × 58 × 782 ) / 92

LCM(92,58,782) = 4172752 / 92

LCM(92,58,782) = 45356


Lets's calculate GCF of 51,12,937

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45356/1

Therefore the LCM of Fractions 92/51,58/12,782/937 is 45356

Greatest Common Factor of 51,12,937 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,12,937 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Greatest Common Factor

We found the factors 51,12,937 . The biggest common factor number is the GCF number.
So the greatest common factor 51,12,937 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 92/51, 58/12, 782/937

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 92/51, 58/12, 782/937?

Answer: LCM of Numerators as per given numbers 92/51, 58/12, 782/937 is

LCM of Numerators i.e. for 92,58,782 is 45356

GCF of denominators i.e. for 51,12,937 is 1.

Thus, LCM of Fractions is 45356.Finally, LCM of Fractions for 92/51, 58/12, 782/937 is 45356.