Least Common Multiple of 820/37, 440/61, 968/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/37, 440/61, 968/122 quickly i.e. 198440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/37, 440/61, 968/122 is 198440.

LCM(820/37, 440/61, 968/122) = 198440

LCM of 820/37, 440/61, 968/122

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 820/37,440/61,968/122

Given numbers are 820/37,440/61,968/122

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 820,440,968

Least Common Multiple of Numerators i.e. LCM of 820,440,968 is 198440.

GCF of Denominators means GCF of 37,61,122 as per the given fractions.

GCF of 37,61,122 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,440,968

LCM of Fractions 820/37,440/61,968/122 is 198440

2 820, 440, 968
2 410, 220, 484
2 205, 110, 242
5 205, 55, 121
11 41, 11, 121
41, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 41 x 1 x 11 = 198440

Least Common Multiple of 820,440,968 with GCF Formula

Least Common Multiple of 820,440,968 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 820,440,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,440,968) = 4

common factors(in case of two or more numbers have common factors) = 440

GCF(820,440,968) x common factors =4 x 440 = 1760

LCM(820,440,968) = ( 820 × 440 × 968 ) / 1760

LCM(820,440,968) = 349254400 / 1760

LCM(820,440,968) = 198440


Lets's calculate GCF of 37,61,122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198440/1

Therefore the LCM of Fractions 820/37,440/61,968/122 is 198440

Greatest Common Factor of 37,61,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,61,122 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 37,61,122 . The biggest common factor number is the GCF number.
So the greatest common factor 37,61,122 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 820/37, 440/61, 968/122

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 820/37, 440/61, 968/122?

Answer: LCM of Numerators as per given numbers 820/37, 440/61, 968/122 is

LCM of Numerators i.e. for 820,440,968 is 198440

GCF of denominators i.e. for 37,61,122 is 1.

Thus, LCM of Fractions is 198440.Finally, LCM of Fractions for 820/37, 440/61, 968/122 is 198440.