Least Common Multiple of 360/976, 882/259, 357/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/976, 882/259, 357/917 quickly i.e. 299880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/976, 882/259, 357/917 is 299880.

LCM(360/976, 882/259, 357/917) = 299880

LCM of 360/976, 882/259, 357/917

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 360/976,882/259,357/917

Given numbers are 360/976,882/259,357/917

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 360,882,357

Least Common Multiple of Numerators i.e. LCM of 360,882,357 is 299880.

GCF of Denominators means GCF of 976,259,917 as per the given fractions.

GCF of 976,259,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,882,357

LCM of Fractions 360/976,882/259,357/917 is 299880

2 360, 882, 357
3 180, 441, 357
3 60, 147, 119
7 20, 49, 119
20, 7, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 20 x 7 x 17 = 299880

Least Common Multiple of 360,882,357 with GCF Formula

Least Common Multiple of 360,882,357 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 360,882,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,882,357) = 3

common factors(in case of two or more numbers have common factors) = 126

GCF(360,882,357) x common factors =3 x 126 = 378

LCM(360,882,357) = ( 360 × 882 × 357 ) / 378

LCM(360,882,357) = 113354640 / 378

LCM(360,882,357) = 299880


Lets's calculate GCF of 976,259,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299880/1

Therefore the LCM of Fractions 360/976,882/259,357/917 is 299880

Greatest Common Factor of 976,259,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,259,917 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 976,259,917 . The biggest common factor number is the GCF number.
So the greatest common factor 976,259,917 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 360/976, 882/259, 357/917

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 360/976, 882/259, 357/917?

Answer: LCM of Numerators as per given numbers 360/976, 882/259, 357/917 is

LCM of Numerators i.e. for 360,882,357 is 299880

GCF of denominators i.e. for 976,259,917 is 1.

Thus, LCM of Fractions is 299880.Finally, LCM of Fractions for 360/976, 882/259, 357/917 is 299880.