Least Common Multiple of 62/558, 56/645, 122/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/558, 56/645, 122/974 quickly i.e. 105896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/558, 56/645, 122/974 is 105896.

LCM(62/558, 56/645, 122/974) = 105896

LCM of 62/558, 56/645, 122/974

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 62/558,56/645,122/974

Given numbers are 62/558,56/645,122/974

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 62,56,122

Least Common Multiple of Numerators i.e. LCM of 62,56,122 is 105896.

GCF of Denominators means GCF of 558,645,974 as per the given fractions.

GCF of 558,645,974 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,56,122

LCM of Fractions 62/558,56/645,122/974 is 105896

2 62, 56, 122
31, 28, 61

∴ So the LCM of the given numbers is 2 x 31 x 28 x 61 = 105896

Least Common Multiple of 62,56,122 with GCF Formula

Least Common Multiple of 62,56,122 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 62,56,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,56,122) = 2

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

GCF(62,56,122) x common factors =2 x 2 = 4

LCM(62,56,122) = ( 62 × 56 × 122 ) / 4

LCM(62,56,122) = 423584 / 4

LCM(62,56,122) = 105896


Lets's calculate GCF of 558,645,974

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105896/1

Therefore the LCM of Fractions 62/558,56/645,122/974 is 105896

Greatest Common Factor of 558,645,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,645,974 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 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 558,645,974 . The biggest common factor number is the GCF number.
So the greatest common factor 558,645,974 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 62/558, 56/645, 122/974

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 62/558, 56/645, 122/974?

Answer: LCM of Numerators as per given numbers 62/558, 56/645, 122/974 is

LCM of Numerators i.e. for 62,56,122 is 105896

GCF of denominators i.e. for 558,645,974 is 1.

Thus, LCM of Fractions is 105896.Finally, LCM of Fractions for 62/558, 56/645, 122/974 is 105896.