Least Common Multiple of 75/56, 89/804, 930/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/56, 89/804, 930/108 quickly i.e. 413850/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/56, 89/804, 930/108 is 413850/4.

LCM(75/56, 89/804, 930/108) = 413850/4

LCM of 75/56, 89/804, 930/108

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 75/56,89/804,930/108

Given numbers are 75/56,89/804,930/108

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 75,89,930

Least Common Multiple of Numerators i.e. LCM of 75,89,930 is 413850.

GCF of Denominators means GCF of 56,804,108 as per the given fractions.

GCF of 56,804,108 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,89,930

LCM of Fractions 75/56,89/804,930/108 is 413850/4

3 75, 89, 930
5 25, 89, 310
5, 89, 62

∴ So the LCM of the given numbers is 3 x 5 x 5 x 89 x 62 = 413850

Least Common Multiple of 75,89,930 with GCF Formula

Least Common Multiple of 75,89,930 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 75,89,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,89,930) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(75,89,930) x common factors =1 x 15 = 15

LCM(75,89,930) = ( 75 × 89 × 930 ) / 15

LCM(75,89,930) = 6207750 / 15

LCM(75,89,930) = 413850


Lets's calculate GCF of 56,804,108

2 56, 804, 108
2 28, 402, 54
14, 201, 27

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 413850/4

Therefore the LCM of Fractions 75/56,89/804,930/108 is 413850/4

Greatest Common Factor of 56,804,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,804,108 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 56,804,108 . The biggest common factor number is the GCF number.
So the greatest common factor 56,804,108 is 4.


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 75/56, 89/804, 930/108

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 75/56, 89/804, 930/108?

Answer: LCM of Numerators as per given numbers 75/56, 89/804, 930/108 is

LCM of Numerators i.e. for 75,89,930 is 413850

GCF of denominators i.e. for 56,804,108 is 4.

Thus, LCM of Fractions is 413850/4.Finally, LCM of Fractions for 75/56, 89/804, 930/108 is 413850/4.