Least Common Multiple of 38/756, 80/130, 742/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/756, 80/130, 742/772 quickly i.e. 281960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/756, 80/130, 742/772 is 281960.

LCM(38/756, 80/130, 742/772) = 281960

LCM of 38/756, 80/130, 742/772

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 38/756,80/130,742/772

Given numbers are 38/756,80/130,742/772

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 38,80,742

Least Common Multiple of Numerators i.e. LCM of 38,80,742 is 563920.

GCF of Denominators means GCF of 756,130,772 as per the given fractions.

GCF of 756,130,772 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,80,742

LCM of Fractions 38/756,80/130,742/772 is 281960

2 38, 80, 742
19, 40, 371

∴ So the LCM of the given numbers is 2 x 19 x 40 x 371 = 563920

Least Common Multiple of 38,80,742 with GCF Formula

Least Common Multiple of 38,80,742 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 38,80,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,80,742) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(38,80,742) x common factors =2 x 2 = 4

LCM(38,80,742) = ( 38 × 80 × 742 ) / 4

LCM(38,80,742) = 2255680 / 4

LCM(38,80,742) = 563920


Lets's calculate GCF of 756,130,772

2 756, 130, 772
378, 65, 386

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 563920/2

Therefore the LCM of Fractions 38/756,80/130,742/772 is 281960

Greatest Common Factor of 756,130,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,130,772 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

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 756,130,772 . The biggest common factor number is the GCF number.
So the greatest common factor 756,130,772 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 38/756, 80/130, 742/772

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 38/756, 80/130, 742/772?

Answer: LCM of Numerators as per given numbers 38/756, 80/130, 742/772 is

LCM of Numerators i.e. for 38,80,742 is 563920

GCF of denominators i.e. for 756,130,772 is 2.

Thus, LCM of Fractions is 281960.Finally, LCM of Fractions for 38/756, 80/130, 742/772 is 281960.