Least Common Multiple of 61/22, 820/25, 119/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/22, 820/25, 119/605 quickly i.e. 5952380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/22, 820/25, 119/605 is 5952380.

LCM(61/22, 820/25, 119/605) = 5952380

LCM of 61/22, 820/25, 119/605

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 61/22,820/25,119/605

Given numbers are 61/22,820/25,119/605

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 61,820,119

Least Common Multiple of Numerators i.e. LCM of 61,820,119 is 5952380.

GCF of Denominators means GCF of 22,25,605 as per the given fractions.

GCF of 22,25,605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,820,119

LCM of Fractions 61/22,820/25,119/605 is 5952380

Given numbers has no common factors except 1. So, there LCM is their product i.e 5952380

Least Common Multiple of 61,820,119 with GCF Formula

Least Common Multiple of 61,820,119 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 61,820,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,820,119) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(61,820,119) x common factors =1 x 1 = 1

LCM(61,820,119) = ( 61 × 820 × 119 ) / 1

LCM(61,820,119) = 5952380 / 1

LCM(61,820,119) = 5952380


Lets's calculate GCF of 22,25,605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5952380/1

Therefore the LCM of Fractions 61/22,820/25,119/605 is 5952380

Greatest Common Factor of 22,25,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,25,605 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 25

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

1,5,25

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 22,25,605 . The biggest common factor number is the GCF number.
So the greatest common factor 22,25,605 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/22, 820/25, 119/605

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 61/22, 820/25, 119/605?

Answer: LCM of Numerators as per given numbers 61/22, 820/25, 119/605 is

LCM of Numerators i.e. for 61,820,119 is 5952380

GCF of denominators i.e. for 22,25,605 is 1.

Thus, LCM of Fractions is 5952380.Finally, LCM of Fractions for 61/22, 820/25, 119/605 is 5952380.