Least Common Multiple of 957/70, 519/88, 505/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 957/70, 519/88, 505/430 quickly i.e. 83608305/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 957/70, 519/88, 505/430 is 83608305/2.

LCM(957/70, 519/88, 505/430) = 83608305/2

LCM of 957/70, 519/88, 505/430

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 957/70,519/88,505/430

Given numbers are 957/70,519/88,505/430

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 957,519,505

Least Common Multiple of Numerators i.e. LCM of 957,519,505 is 83608305.

GCF of Denominators means GCF of 70,88,430 as per the given fractions.

GCF of 70,88,430 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 957,519,505

LCM of Fractions 957/70,519/88,505/430 is 83608305/2

3 957, 519, 505
319, 173, 505

∴ So the LCM of the given numbers is 3 x 319 x 173 x 505 = 83608305

Least Common Multiple of 957,519,505 with GCF Formula

Least Common Multiple of 957,519,505 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 957,519,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,519,505) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(957,519,505) x common factors =1 x 3 = 3

LCM(957,519,505) = ( 957 × 519 × 505 ) / 3

LCM(957,519,505) = 250824915 / 3

LCM(957,519,505) = 83608305


Lets's calculate GCF of 70,88,430

2 70, 88, 430
35, 44, 215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83608305/2

Therefore the LCM of Fractions 957/70,519/88,505/430 is 83608305/2

Greatest Common Factor of 70,88,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,88,430 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 70,88,430 . The biggest common factor number is the GCF number.
So the greatest common factor 70,88,430 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 957/70, 519/88, 505/430

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 957/70, 519/88, 505/430?

Answer: LCM of Numerators as per given numbers 957/70, 519/88, 505/430 is

LCM of Numerators i.e. for 957,519,505 is 83608305

GCF of denominators i.e. for 70,88,430 is 2.

Thus, LCM of Fractions is 83608305/2.Finally, LCM of Fractions for 957/70, 519/88, 505/430 is 83608305/2.