Least Common Multiple of 542/216, 737/719, 790/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/216, 737/719, 790/797 quickly i.e. 157784330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/216, 737/719, 790/797 is 157784330.

LCM(542/216, 737/719, 790/797) = 157784330

LCM of 542/216, 737/719, 790/797

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 542/216,737/719,790/797

Given numbers are 542/216,737/719,790/797

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 542,737,790

Least Common Multiple of Numerators i.e. LCM of 542,737,790 is 157784330.

GCF of Denominators means GCF of 216,719,797 as per the given fractions.

GCF of 216,719,797 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,737,790

LCM of Fractions 542/216,737/719,790/797 is 157784330

2 542, 737, 790
271, 737, 395

∴ So the LCM of the given numbers is 2 x 271 x 737 x 395 = 157784330

Least Common Multiple of 542,737,790 with GCF Formula

Least Common Multiple of 542,737,790 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 542,737,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,737,790) = 1

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

GCF(542,737,790) x common factors =1 x 2 = 2

LCM(542,737,790) = ( 542 × 737 × 790 ) / 2

LCM(542,737,790) = 315568660 / 2

LCM(542,737,790) = 157784330


Lets's calculate GCF of 216,719,797

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157784330/1

Therefore the LCM of Fractions 542/216,737/719,790/797 is 157784330

Greatest Common Factor of 216,719,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,719,797 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors 216,719,797 . The biggest common factor number is the GCF number.
So the greatest common factor 216,719,797 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 542/216, 737/719, 790/797

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 542/216, 737/719, 790/797?

Answer: LCM of Numerators as per given numbers 542/216, 737/719, 790/797 is

LCM of Numerators i.e. for 542,737,790 is 157784330

GCF of denominators i.e. for 216,719,797 is 1.

Thus, LCM of Fractions is 157784330.Finally, LCM of Fractions for 542/216, 737/719, 790/797 is 157784330.