Least Common Multiple of 61/117, 22/278, 416/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/117, 22/278, 416/475 quickly i.e. 279136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/117, 22/278, 416/475 is 279136.

LCM(61/117, 22/278, 416/475) = 279136

LCM of 61/117, 22/278, 416/475

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 61/117,22/278,416/475

Given numbers are 61/117,22/278,416/475

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 61,22,416

Least Common Multiple of Numerators i.e. LCM of 61,22,416 is 279136.

GCF of Denominators means GCF of 117,278,475 as per the given fractions.

GCF of 117,278,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,22,416

LCM of Fractions 61/117,22/278,416/475 is 279136

2 61, 22, 416
61, 11, 208

∴ So the LCM of the given numbers is 2 x 61 x 11 x 208 = 279136

Least Common Multiple of 61,22,416 with GCF Formula

Least Common Multiple of 61,22,416 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 61,22,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,22,416) = 1

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

GCF(61,22,416) x common factors =1 x 2 = 2

LCM(61,22,416) = ( 61 × 22 × 416 ) / 2

LCM(61,22,416) = 558272 / 2

LCM(61,22,416) = 279136


Lets's calculate GCF of 117,278,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279136/1

Therefore the LCM of Fractions 61/117,22/278,416/475 is 279136

Greatest Common Factor of 117,278,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,278,475 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 117,278,475 . The biggest common factor number is the GCF number.
So the greatest common factor 117,278,475 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 61/117, 22/278, 416/475

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 61/117, 22/278, 416/475?

Answer: LCM of Numerators as per given numbers 61/117, 22/278, 416/475 is

LCM of Numerators i.e. for 61,22,416 is 279136

GCF of denominators i.e. for 117,278,475 is 1.

Thus, LCM of Fractions is 279136.Finally, LCM of Fractions for 61/117, 22/278, 416/475 is 279136.