Least Common Multiple of 80/842, 60/876, 760/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/842, 60/876, 760/708 quickly i.e. 2280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/842, 60/876, 760/708 is 2280.

LCM(80/842, 60/876, 760/708) = 2280

LCM of 80/842, 60/876, 760/708

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 80/842,60/876,760/708

Given numbers are 80/842,60/876,760/708

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 80,60,760

Least Common Multiple of Numerators i.e. LCM of 80,60,760 is 4560.

GCF of Denominators means GCF of 842,876,708 as per the given fractions.

GCF of 842,876,708 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,60,760

LCM of Fractions 80/842,60/876,760/708 is 2280

2 80, 60, 760
2 40, 30, 380
2 20, 15, 190
5 10, 15, 95
2, 3, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 2 x 3 x 19 = 4560

Least Common Multiple of 80,60,760 with GCF Formula

Least Common Multiple of 80,60,760 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 80,60,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,60,760) = 20

common factors(in case of two or more numbers have common factors) = 40

GCF(80,60,760) x common factors =20 x 40 = 800

LCM(80,60,760) = ( 80 × 60 × 760 ) / 800

LCM(80,60,760) = 3648000 / 800

LCM(80,60,760) = 4560


Lets's calculate GCF of 842,876,708

2 842, 876, 708
421, 438, 354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4560/2

Therefore the LCM of Fractions 80/842,60/876,760/708 is 2280

Greatest Common Factor of 842,876,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,876,708 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 842,876,708 . The biggest common factor number is the GCF number.
So the greatest common factor 842,876,708 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 80/842, 60/876, 760/708

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 80/842, 60/876, 760/708?

Answer: LCM of Numerators as per given numbers 80/842, 60/876, 760/708 is

LCM of Numerators i.e. for 80,60,760 is 4560

GCF of denominators i.e. for 842,876,708 is 2.

Thus, LCM of Fractions is 2280.Finally, LCM of Fractions for 80/842, 60/876, 760/708 is 2280.