Least Common Multiple of 95/476, 790/824, 304/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/476, 790/824, 304/370 quickly i.e. 60040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/476, 790/824, 304/370 is 60040.

LCM(95/476, 790/824, 304/370) = 60040

LCM of 95/476, 790/824, 304/370

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 95/476,790/824,304/370

Given numbers are 95/476,790/824,304/370

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 95,790,304

Least Common Multiple of Numerators i.e. LCM of 95,790,304 is 120080.

GCF of Denominators means GCF of 476,824,370 as per the given fractions.

GCF of 476,824,370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,790,304

LCM of Fractions 95/476,790/824,304/370 is 60040

2 95, 790, 304
5 95, 395, 152
19 19, 79, 152
1, 79, 8

∴ So the LCM of the given numbers is 2 x 5 x 19 x 1 x 79 x 8 = 120080

Least Common Multiple of 95,790,304 with GCF Formula

Least Common Multiple of 95,790,304 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 95,790,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,790,304) = 1

common factors(in case of two or more numbers have common factors) = 190

GCF(95,790,304) x common factors =1 x 190 = 190

LCM(95,790,304) = ( 95 × 790 × 304 ) / 190

LCM(95,790,304) = 22815200 / 190

LCM(95,790,304) = 120080


Lets's calculate GCF of 476,824,370

2 476, 824, 370
238, 412, 185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120080/2

Therefore the LCM of Fractions 95/476,790/824,304/370 is 60040

Greatest Common Factor of 476,824,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,824,370 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 476,824,370 . The biggest common factor number is the GCF number.
So the greatest common factor 476,824,370 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 95/476, 790/824, 304/370

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 95/476, 790/824, 304/370?

Answer: LCM of Numerators as per given numbers 95/476, 790/824, 304/370 is

LCM of Numerators i.e. for 95,790,304 is 120080

GCF of denominators i.e. for 476,824,370 is 2.

Thus, LCM of Fractions is 60040.Finally, LCM of Fractions for 95/476, 790/824, 304/370 is 60040.