Least Common Multiple of 76/348, 59/619, 542/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/348, 59/619, 542/605 quickly i.e. 1215164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/348, 59/619, 542/605 is 1215164.

LCM(76/348, 59/619, 542/605) = 1215164

LCM of 76/348, 59/619, 542/605

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 76/348,59/619,542/605

Given numbers are 76/348,59/619,542/605

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 76,59,542

Least Common Multiple of Numerators i.e. LCM of 76,59,542 is 1215164.

GCF of Denominators means GCF of 348,619,605 as per the given fractions.

GCF of 348,619,605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,59,542

LCM of Fractions 76/348,59/619,542/605 is 1215164

2 76, 59, 542
38, 59, 271

∴ So the LCM of the given numbers is 2 x 38 x 59 x 271 = 1215164

Least Common Multiple of 76,59,542 with GCF Formula

Least Common Multiple of 76,59,542 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 76,59,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,59,542) = 1

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

GCF(76,59,542) x common factors =1 x 2 = 2

LCM(76,59,542) = ( 76 × 59 × 542 ) / 2

LCM(76,59,542) = 2430328 / 2

LCM(76,59,542) = 1215164


Lets's calculate GCF of 348,619,605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1215164/1

Therefore the LCM of Fractions 76/348,59/619,542/605 is 1215164

Greatest Common Factor of 348,619,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,619,605 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 348,619,605 . The biggest common factor number is the GCF number.
So the greatest common factor 348,619,605 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 76/348, 59/619, 542/605

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 76/348, 59/619, 542/605?

Answer: LCM of Numerators as per given numbers 76/348, 59/619, 542/605 is

LCM of Numerators i.e. for 76,59,542 is 1215164

GCF of denominators i.e. for 348,619,605 is 1.

Thus, LCM of Fractions is 1215164.Finally, LCM of Fractions for 76/348, 59/619, 542/605 is 1215164.