Least Common Multiple of 37/558, 92/364, 757/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/558, 92/364, 757/294 quickly i.e. 1288414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/558, 92/364, 757/294 is 1288414.

LCM(37/558, 92/364, 757/294) = 1288414

LCM of 37/558, 92/364, 757/294

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 37/558,92/364,757/294

Given numbers are 37/558,92/364,757/294

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 37,92,757

Least Common Multiple of Numerators i.e. LCM of 37,92,757 is 2576828.

GCF of Denominators means GCF of 558,364,294 as per the given fractions.

GCF of 558,364,294 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,92,757

LCM of Fractions 37/558,92/364,757/294 is 1288414

Given numbers has no common factors except 1. So, there LCM is their product i.e 2576828

Least Common Multiple of 37,92,757 with GCF Formula

Least Common Multiple of 37,92,757 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 37,92,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,92,757) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,92,757) x common factors =1 x 1 = 1

LCM(37,92,757) = ( 37 × 92 × 757 ) / 1

LCM(37,92,757) = 2576828 / 1

LCM(37,92,757) = 2576828


Lets's calculate GCF of 558,364,294

2 558, 364, 294
279, 182, 147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2576828/2

Therefore the LCM of Fractions 37/558,92/364,757/294 is 1288414

Greatest Common Factor of 558,364,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,364,294 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 558,364,294 . The biggest common factor number is the GCF number.
So the greatest common factor 558,364,294 is 2.


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 37/558, 92/364, 757/294

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 37/558, 92/364, 757/294?

Answer: LCM of Numerators as per given numbers 37/558, 92/364, 757/294 is

LCM of Numerators i.e. for 37,92,757 is 2576828

GCF of denominators i.e. for 558,364,294 is 2.

Thus, LCM of Fractions is 1288414.Finally, LCM of Fractions for 37/558, 92/364, 757/294 is 1288414.