Least Common Multiple of 92/522, 5860/4674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/522, 5860/4674 quickly i.e. 134780/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/522, 5860/4674 is 134780/6.

LCM(92/522, 5860/4674) = 134780/6

LCM of 92/522, 5860/4674

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 92/522,5860/4674

Given numbers are 92/522,5860/4674

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 92,5860

Least Common Multiple of Numerators i.e. LCM of 92,5860 is 134780.

GCF of Denominators means GCF of 522,4674 as per the given fractions.

GCF of 522,4674 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,5860

LCM of Fractions 92/522,5860/4674 is 134780/6

2 92, 5860
2 46, 2930
23, 1465

∴ So the LCM of the given numbers is 2 x 2 x 23 x 1465 = 134780

Least Common Multiple of 92,5860 with GCF Formula

Least Common Multiple of 92,5860 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 92,5860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,5860) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(92,5860) x common factors =4 x 1 = 4

LCM(92,5860) = ( 92 × 5860 ) / 4

LCM(92,5860) = 539120 / 4

LCM(92,5860) = 134780


Lets's calculate GCF of 522,4674

2 522, 4674
3 261, 2337
87, 779

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134780/6

Therefore the LCM of Fractions 92/522,5860/4674 is 134780/6

Greatest Common Factor of 522,4674 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,4674 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 4674

List of positive integer factors of 4674 that divides 4674 without a remainder.

1,2,3,6,19,38,41,57,82,114,123,246,779,1558,2337,4674

Greatest Common Factor

We found the factors 522,4674 . The biggest common factor number is the GCF number.
So the greatest common factor 522,4674 is 6.


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 92/522, 5860/4674

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 92/522, 5860/4674?

Answer: LCM of Numerators as per given numbers 92/522, 5860/4674 is

LCM of Numerators i.e. for 92,5860 is 134780

GCF of denominators i.e. for 522,4674 is 6.

Thus, LCM of Fractions is 134780/6.Finally, LCM of Fractions for 92/522, 5860/4674 is 134780/6.