Least Common Multiple of 952/89, 595/16, 150/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 952/89, 595/16, 150/677 quickly i.e. 71400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 952/89, 595/16, 150/677 is 71400.

LCM(952/89, 595/16, 150/677) = 71400

LCM of 952/89, 595/16, 150/677

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 952/89,595/16,150/677

Given numbers are 952/89,595/16,150/677

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 952,595,150

Least Common Multiple of Numerators i.e. LCM of 952,595,150 is 71400.

GCF of Denominators means GCF of 89,16,677 as per the given fractions.

GCF of 89,16,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 952,595,150

LCM of Fractions 952/89,595/16,150/677 is 71400

2 952, 595, 150
5 476, 595, 75
7 476, 119, 15
17 68, 17, 15
4, 1, 15

∴ So the LCM of the given numbers is 2 x 5 x 7 x 17 x 4 x 1 x 15 = 71400

Least Common Multiple of 952,595,150 with GCF Formula

Least Common Multiple of 952,595,150 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 952,595,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,595,150) = 1

common factors(in case of two or more numbers have common factors) = 1190

GCF(952,595,150) x common factors =1 x 1190 = 1190

LCM(952,595,150) = ( 952 × 595 × 150 ) / 1190

LCM(952,595,150) = 84966000 / 1190

LCM(952,595,150) = 71400


Lets's calculate GCF of 89,16,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71400/1

Therefore the LCM of Fractions 952/89,595/16,150/677 is 71400

Greatest Common Factor of 89,16,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,16,677 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 89,16,677 . The biggest common factor number is the GCF number.
So the greatest common factor 89,16,677 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 952/89, 595/16, 150/677

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 952/89, 595/16, 150/677?

Answer: LCM of Numerators as per given numbers 952/89, 595/16, 150/677 is

LCM of Numerators i.e. for 952,595,150 is 71400

GCF of denominators i.e. for 89,16,677 is 1.

Thus, LCM of Fractions is 71400.Finally, LCM of Fractions for 952/89, 595/16, 150/677 is 71400.