Least Common Multiple of 85/522, 790/634, 900/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/522, 790/634, 900/938 quickly i.e. 604350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/522, 790/634, 900/938 is 604350.

LCM(85/522, 790/634, 900/938) = 604350

LCM of 85/522, 790/634, 900/938

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 85/522,790/634,900/938

Given numbers are 85/522,790/634,900/938

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 85,790,900

Least Common Multiple of Numerators i.e. LCM of 85,790,900 is 1208700.

GCF of Denominators means GCF of 522,634,938 as per the given fractions.

GCF of 522,634,938 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,790,900

LCM of Fractions 85/522,790/634,900/938 is 604350

2 85, 790, 900
5 85, 395, 450
17, 79, 90

∴ So the LCM of the given numbers is 2 x 5 x 17 x 79 x 90 = 1208700

Least Common Multiple of 85,790,900 with GCF Formula

Least Common Multiple of 85,790,900 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 85,790,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,790,900) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(85,790,900) x common factors =5 x 10 = 50

LCM(85,790,900) = ( 85 × 790 × 900 ) / 50

LCM(85,790,900) = 60435000 / 50

LCM(85,790,900) = 1208700


Lets's calculate GCF of 522,634,938

2 522, 634, 938
261, 317, 469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1208700/2

Therefore the LCM of Fractions 85/522,790/634,900/938 is 604350

Greatest Common Factor of 522,634,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,634,938 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 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 522,634,938 . The biggest common factor number is the GCF number.
So the greatest common factor 522,634,938 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 85/522, 790/634, 900/938

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 85/522, 790/634, 900/938?

Answer: LCM of Numerators as per given numbers 85/522, 790/634, 900/938 is

LCM of Numerators i.e. for 85,790,900 is 1208700

GCF of denominators i.e. for 522,634,938 is 2.

Thus, LCM of Fractions is 604350.Finally, LCM of Fractions for 85/522, 790/634, 900/938 is 604350.