Least Common Multiple of 522/78, 359/58, 420/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/78, 359/58, 420/914 quickly i.e. 6558930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/78, 359/58, 420/914 is 6558930.

LCM(522/78, 359/58, 420/914) = 6558930

LCM of 522/78, 359/58, 420/914

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 522/78,359/58,420/914

Given numbers are 522/78,359/58,420/914

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 522,359,420

Least Common Multiple of Numerators i.e. LCM of 522,359,420 is 13117860.

GCF of Denominators means GCF of 78,58,914 as per the given fractions.

GCF of 78,58,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,359,420

LCM of Fractions 522/78,359/58,420/914 is 6558930

2 522, 359, 420
3 261, 359, 210
87, 359, 70

∴ So the LCM of the given numbers is 2 x 3 x 87 x 359 x 70 = 13117860

Least Common Multiple of 522,359,420 with GCF Formula

Least Common Multiple of 522,359,420 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 522,359,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,359,420) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(522,359,420) x common factors =1 x 6 = 6

LCM(522,359,420) = ( 522 × 359 × 420 ) / 6

LCM(522,359,420) = 78707160 / 6

LCM(522,359,420) = 13117860


Lets's calculate GCF of 78,58,914

2 78, 58, 914
39, 29, 457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13117860/2

Therefore the LCM of Fractions 522/78,359/58,420/914 is 6558930

Greatest Common Factor of 78,58,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,58,914 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 78,58,914 . The biggest common factor number is the GCF number.
So the greatest common factor 78,58,914 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 522/78, 359/58, 420/914

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 522/78, 359/58, 420/914?

Answer: LCM of Numerators as per given numbers 522/78, 359/58, 420/914 is

LCM of Numerators i.e. for 522,359,420 is 13117860

GCF of denominators i.e. for 78,58,914 is 2.

Thus, LCM of Fractions is 6558930.Finally, LCM of Fractions for 522/78, 359/58, 420/914 is 6558930.