Least Common Multiple of 874/97, 286/35, 900/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 874/97, 286/35, 900/538 quickly i.e. 56241900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 874/97, 286/35, 900/538 is 56241900.

LCM(874/97, 286/35, 900/538) = 56241900

LCM of 874/97, 286/35, 900/538

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 874/97,286/35,900/538

Given numbers are 874/97,286/35,900/538

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 874,286,900

Least Common Multiple of Numerators i.e. LCM of 874,286,900 is 56241900.

GCF of Denominators means GCF of 97,35,538 as per the given fractions.

GCF of 97,35,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 874,286,900

LCM of Fractions 874/97,286/35,900/538 is 56241900

2 874, 286, 900
437, 143, 450

∴ So the LCM of the given numbers is 2 x 437 x 143 x 450 = 56241900

Least Common Multiple of 874,286,900 with GCF Formula

Least Common Multiple of 874,286,900 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 874,286,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,286,900) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(874,286,900) x common factors =2 x 2 = 4

LCM(874,286,900) = ( 874 × 286 × 900 ) / 4

LCM(874,286,900) = 224967600 / 4

LCM(874,286,900) = 56241900


Lets's calculate GCF of 97,35,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56241900/1

Therefore the LCM of Fractions 874/97,286/35,900/538 is 56241900

Greatest Common Factor of 97,35,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,35,538 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 97,35,538 . The biggest common factor number is the GCF number.
So the greatest common factor 97,35,538 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 874/97, 286/35, 900/538

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 874/97, 286/35, 900/538?

Answer: LCM of Numerators as per given numbers 874/97, 286/35, 900/538 is

LCM of Numerators i.e. for 874,286,900 is 56241900

GCF of denominators i.e. for 97,35,538 is 1.

Thus, LCM of Fractions is 56241900.Finally, LCM of Fractions for 874/97, 286/35, 900/538 is 56241900.