Least Common Multiple of 76/570, 50/854, 342/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/570, 50/854, 342/772 quickly i.e. 8550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/570, 50/854, 342/772 is 8550.

LCM(76/570, 50/854, 342/772) = 8550

LCM of 76/570, 50/854, 342/772

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 76/570,50/854,342/772

Given numbers are 76/570,50/854,342/772

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 76,50,342

Least Common Multiple of Numerators i.e. LCM of 76,50,342 is 17100.

GCF of Denominators means GCF of 570,854,772 as per the given fractions.

GCF of 570,854,772 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,50,342

LCM of Fractions 76/570,50/854,342/772 is 8550

2 76, 50, 342
19 38, 25, 171
2, 25, 9

∴ So the LCM of the given numbers is 2 x 19 x 2 x 25 x 9 = 17100

Least Common Multiple of 76,50,342 with GCF Formula

Least Common Multiple of 76,50,342 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 76,50,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,50,342) = 2

common factors(in case of two or more numbers have common factors) = 38

GCF(76,50,342) x common factors =2 x 38 = 76

LCM(76,50,342) = ( 76 × 50 × 342 ) / 76

LCM(76,50,342) = 1299600 / 76

LCM(76,50,342) = 17100


Lets's calculate GCF of 570,854,772

2 570, 854, 772
285, 427, 386

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17100/2

Therefore the LCM of Fractions 76/570,50/854,342/772 is 8550

Greatest Common Factor of 570,854,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,854,772 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 570,854,772 . The biggest common factor number is the GCF number.
So the greatest common factor 570,854,772 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 76/570, 50/854, 342/772

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 76/570, 50/854, 342/772?

Answer: LCM of Numerators as per given numbers 76/570, 50/854, 342/772 is

LCM of Numerators i.e. for 76,50,342 is 17100

GCF of denominators i.e. for 570,854,772 is 2.

Thus, LCM of Fractions is 8550.Finally, LCM of Fractions for 76/570, 50/854, 342/772 is 8550.