Least Common Multiple of 889/25, 443/74, 254/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 889/25, 443/74, 254/357 quickly i.e. 787654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 889/25, 443/74, 254/357 is 787654.

LCM(889/25, 443/74, 254/357) = 787654

LCM of 889/25, 443/74, 254/357

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 889/25,443/74,254/357

Given numbers are 889/25,443/74,254/357

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 889,443,254

Least Common Multiple of Numerators i.e. LCM of 889,443,254 is 787654.

GCF of Denominators means GCF of 25,74,357 as per the given fractions.

GCF of 25,74,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 889,443,254

LCM of Fractions 889/25,443/74,254/357 is 787654

127 889, 443, 254
7, 443, 2

∴ So the LCM of the given numbers is 127 x 7 x 443 x 2 = 787654

Least Common Multiple of 889,443,254 with GCF Formula

Least Common Multiple of 889,443,254 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 889,443,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,443,254) = 1

common factors(in case of two or more numbers have common factors) = 127

GCF(889,443,254) x common factors =1 x 127 = 127

LCM(889,443,254) = ( 889 × 443 × 254 ) / 127

LCM(889,443,254) = 100032058 / 127

LCM(889,443,254) = 787654


Lets's calculate GCF of 25,74,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 787654/1

Therefore the LCM of Fractions 889/25,443/74,254/357 is 787654

Greatest Common Factor of 25,74,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,74,357 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 25,74,357 . The biggest common factor number is the GCF number.
So the greatest common factor 25,74,357 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 889/25, 443/74, 254/357

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 889/25, 443/74, 254/357?

Answer: LCM of Numerators as per given numbers 889/25, 443/74, 254/357 is

LCM of Numerators i.e. for 889,443,254 is 787654

GCF of denominators i.e. for 25,74,357 is 1.

Thus, LCM of Fractions is 787654.Finally, LCM of Fractions for 889/25, 443/74, 254/357 is 787654.