Least Common Multiple of 61/22, 35/38, 47/52, 10/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/22, 35/38, 47/52, 10/312 quickly i.e. 100345 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, 35/38, 47/52, 10/312 is 100345.

LCM(61/22, 35/38, 47/52, 10/312) = 100345

LCM of 61/22, 35/38, 47/52, 10/312

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 61/22,35/38,47/52,10/312

Given numbers are 61/22,35/38,47/52,10/312

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 61,35,47,10

Least Common Multiple of Numerators i.e. LCM of 61,35,47,10 is 200690.

GCF of Denominators means GCF of 22,38,52,312 as per the given fractions.

GCF of 22,38,52,312 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,35,47,10

LCM of Fractions 61/22,35/38,47/52,10/312 is 100345

5 61, 35, 47, 10
61, 7, 47, 2

∴ So the LCM of the given numbers is 5 x 61 x 7 x 47 x 2 = 200690

Least Common Multiple of 61,35,47,10 with GCF Formula

Least Common Multiple of 61,35,47,10 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 61,35,47,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,35,47,10) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(61,35,47,10) x common factors =1 x 5 = 5

LCM(61,35,47,10) = ( 61 × 35 × 47 × 10 ) / 5

LCM(61,35,47,10) = 1003450 / 5

LCM(61,35,47,10) = 200690


Lets's calculate GCF of 22,38,52,312

2 22, 38, 52, 312
11, 19, 26, 156

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200690/2

Therefore the LCM of Fractions 61/22,35/38,47/52,10/312 is 100345

Greatest Common Factor of 22,38,52,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,38,52,312 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 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 22,38,52,312 . The biggest common factor number is the GCF number.
So the greatest common factor 22,38,52,312 is 2.


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 61/22, 35/38, 47/52, 10/312

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, 35/38, 47/52, 10/312?

Answer: LCM of Numerators as per given numbers 61/22, 35/38, 47/52, 10/312 is

LCM of Numerators i.e. for 61,35,47,10 is 200690

GCF of denominators i.e. for 22,38,52,312 is 2.

Thus, LCM of Fractions is 100345.Finally, LCM of Fractions for 61/22, 35/38, 47/52, 10/312 is 100345.