Least Common Multiple of 76/887, 650/361, 600/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/887, 650/361, 600/271 quickly i.e. 148200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/887, 650/361, 600/271 is 148200.

LCM(76/887, 650/361, 600/271) = 148200

LCM of 76/887, 650/361, 600/271

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 76/887,650/361,600/271

Given numbers are 76/887,650/361,600/271

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 76,650,600

Least Common Multiple of Numerators i.e. LCM of 76,650,600 is 148200.

GCF of Denominators means GCF of 887,361,271 as per the given fractions.

GCF of 887,361,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,650,600

LCM of Fractions 76/887,650/361,600/271 is 148200

2 76, 650, 600
2 38, 325, 300
5 19, 325, 150
5 19, 65, 30
19, 13, 6

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 19 x 13 x 6 = 148200

Least Common Multiple of 76,650,600 with GCF Formula

Least Common Multiple of 76,650,600 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 76,650,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,650,600) = 2

common factors(in case of two or more numbers have common factors) = 100

GCF(76,650,600) x common factors =2 x 100 = 200

LCM(76,650,600) = ( 76 × 650 × 600 ) / 200

LCM(76,650,600) = 29640000 / 200

LCM(76,650,600) = 148200


Lets's calculate GCF of 887,361,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148200/1

Therefore the LCM of Fractions 76/887,650/361,600/271 is 148200

Greatest Common Factor of 887,361,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,361,271 By Matching Biggest Common Factor Method

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 887,361,271 . The biggest common factor number is the GCF number.
So the greatest common factor 887,361,271 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 76/887, 650/361, 600/271

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 76/887, 650/361, 600/271?

Answer: LCM of Numerators as per given numbers 76/887, 650/361, 600/271 is

LCM of Numerators i.e. for 76,650,600 is 148200

GCF of denominators i.e. for 887,361,271 is 1.

Thus, LCM of Fractions is 148200.Finally, LCM of Fractions for 76/887, 650/361, 600/271 is 148200.