Least Common Multiple of 56/445, 987/653, 342/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/445, 987/653, 342/949 quickly i.e. 450072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/445, 987/653, 342/949 is 450072.

LCM(56/445, 987/653, 342/949) = 450072

LCM of 56/445, 987/653, 342/949

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 56/445,987/653,342/949

Given numbers are 56/445,987/653,342/949

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 56,987,342

Least Common Multiple of Numerators i.e. LCM of 56,987,342 is 450072.

GCF of Denominators means GCF of 445,653,949 as per the given fractions.

GCF of 445,653,949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,987,342

LCM of Fractions 56/445,987/653,342/949 is 450072

2 56, 987, 342
3 28, 987, 171
7 28, 329, 57
4, 47, 57

∴ So the LCM of the given numbers is 2 x 3 x 7 x 4 x 47 x 57 = 450072

Least Common Multiple of 56,987,342 with GCF Formula

Least Common Multiple of 56,987,342 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 56,987,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,987,342) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(56,987,342) x common factors =1 x 42 = 42

LCM(56,987,342) = ( 56 × 987 × 342 ) / 42

LCM(56,987,342) = 18903024 / 42

LCM(56,987,342) = 450072


Lets's calculate GCF of 445,653,949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450072/1

Therefore the LCM of Fractions 56/445,987/653,342/949 is 450072

Greatest Common Factor of 445,653,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,653,949 By Matching Biggest Common Factor Method

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 445,653,949 . The biggest common factor number is the GCF number.
So the greatest common factor 445,653,949 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 56/445, 987/653, 342/949

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 56/445, 987/653, 342/949?

Answer: LCM of Numerators as per given numbers 56/445, 987/653, 342/949 is

LCM of Numerators i.e. for 56,987,342 is 450072

GCF of denominators i.e. for 445,653,949 is 1.

Thus, LCM of Fractions is 450072.Finally, LCM of Fractions for 56/445, 987/653, 342/949 is 450072.