Least Common Multiple of 874/404, 288/126, 868/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 874/404, 288/126, 868/598 quickly i.e. 13655376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 874/404, 288/126, 868/598 is 13655376.

LCM(874/404, 288/126, 868/598) = 13655376

LCM of 874/404, 288/126, 868/598

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 874/404,288/126,868/598

Given numbers are 874/404,288/126,868/598

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 874,288,868

Least Common Multiple of Numerators i.e. LCM of 874,288,868 is 27310752.

GCF of Denominators means GCF of 404,126,598 as per the given fractions.

GCF of 404,126,598 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 874,288,868

LCM of Fractions 874/404,288/126,868/598 is 13655376

2 874, 288, 868
2 437, 144, 434
437, 72, 217

∴ So the LCM of the given numbers is 2 x 2 x 437 x 72 x 217 = 27310752

Least Common Multiple of 874,288,868 with GCF Formula

Least Common Multiple of 874,288,868 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 874,288,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,288,868) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(874,288,868) x common factors =2 x 4 = 8

LCM(874,288,868) = ( 874 × 288 × 868 ) / 8

LCM(874,288,868) = 218486016 / 8

LCM(874,288,868) = 27310752


Lets's calculate GCF of 404,126,598

2 404, 126, 598
202, 63, 299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27310752/2

Therefore the LCM of Fractions 874/404,288/126,868/598 is 13655376

Greatest Common Factor of 404,126,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,126,598 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 404,126,598 . The biggest common factor number is the GCF number.
So the greatest common factor 404,126,598 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 874/404, 288/126, 868/598

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 874/404, 288/126, 868/598?

Answer: LCM of Numerators as per given numbers 874/404, 288/126, 868/598 is

LCM of Numerators i.e. for 874,288,868 is 27310752

GCF of denominators i.e. for 404,126,598 is 2.

Thus, LCM of Fractions is 13655376.Finally, LCM of Fractions for 874/404, 288/126, 868/598 is 13655376.