Least Common Multiple of 95/760, 914/437, 143/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/760, 914/437, 143/504 quickly i.e. 12416690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/760, 914/437, 143/504 is 12416690.

LCM(95/760, 914/437, 143/504) = 12416690

LCM of 95/760, 914/437, 143/504

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 95/760,914/437,143/504

Given numbers are 95/760,914/437,143/504

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 95,914,143

Least Common Multiple of Numerators i.e. LCM of 95,914,143 is 12416690.

GCF of Denominators means GCF of 760,437,504 as per the given fractions.

GCF of 760,437,504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,914,143

LCM of Fractions 95/760,914/437,143/504 is 12416690

Given numbers has no common factors except 1. So, there LCM is their product i.e 12416690

Least Common Multiple of 95,914,143 with GCF Formula

Least Common Multiple of 95,914,143 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 95,914,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,914,143) = 1

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

GCF(95,914,143) x common factors =1 x 1 = 1

LCM(95,914,143) = ( 95 × 914 × 143 ) / 1

LCM(95,914,143) = 12416690 / 1

LCM(95,914,143) = 12416690


Lets's calculate GCF of 760,437,504

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12416690/1

Therefore the LCM of Fractions 95/760,914/437,143/504 is 12416690

Greatest Common Factor of 760,437,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,437,504 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 760,437,504 . The biggest common factor number is the GCF number.
So the greatest common factor 760,437,504 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 95/760, 914/437, 143/504

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 95/760, 914/437, 143/504?

Answer: LCM of Numerators as per given numbers 95/760, 914/437, 143/504 is

LCM of Numerators i.e. for 95,914,143 is 12416690

GCF of denominators i.e. for 760,437,504 is 1.

Thus, LCM of Fractions is 12416690.Finally, LCM of Fractions for 95/760, 914/437, 143/504 is 12416690.