Least Common Multiple of 356/91, 504/73, 952/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 356/91, 504/73, 952/870 quickly i.e. 762552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 356/91, 504/73, 952/870 is 762552.

LCM(356/91, 504/73, 952/870) = 762552

LCM of 356/91, 504/73, 952/870

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 356/91,504/73,952/870

Given numbers are 356/91,504/73,952/870

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 356,504,952

Least Common Multiple of Numerators i.e. LCM of 356,504,952 is 762552.

GCF of Denominators means GCF of 91,73,870 as per the given fractions.

GCF of 91,73,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 356,504,952

LCM of Fractions 356/91,504/73,952/870 is 762552

2 356, 504, 952
2 178, 252, 476
2 89, 126, 238
7 89, 63, 119
89, 9, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 89 x 9 x 17 = 762552

Least Common Multiple of 356,504,952 with GCF Formula

Least Common Multiple of 356,504,952 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 356,504,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,504,952) = 4

common factors(in case of two or more numbers have common factors) = 56

GCF(356,504,952) x common factors =4 x 56 = 224

LCM(356,504,952) = ( 356 × 504 × 952 ) / 224

LCM(356,504,952) = 170811648 / 224

LCM(356,504,952) = 762552


Lets's calculate GCF of 91,73,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 762552/1

Therefore the LCM of Fractions 356/91,504/73,952/870 is 762552

Greatest Common Factor of 91,73,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,73,870 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 91,73,870 . The biggest common factor number is the GCF number.
So the greatest common factor 91,73,870 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 356/91, 504/73, 952/870

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 356/91, 504/73, 952/870?

Answer: LCM of Numerators as per given numbers 356/91, 504/73, 952/870 is

LCM of Numerators i.e. for 356,504,952 is 762552

GCF of denominators i.e. for 91,73,870 is 1.

Thus, LCM of Fractions is 762552.Finally, LCM of Fractions for 356/91, 504/73, 952/870 is 762552.