Least Common Multiple of 89/68, 524/56, 156/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/68, 524/56, 156/783 quickly i.e. 1818804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/68, 524/56, 156/783 is 1818804.

LCM(89/68, 524/56, 156/783) = 1818804

LCM of 89/68, 524/56, 156/783

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 89/68,524/56,156/783

Given numbers are 89/68,524/56,156/783

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 89,524,156

Least Common Multiple of Numerators i.e. LCM of 89,524,156 is 1818804.

GCF of Denominators means GCF of 68,56,783 as per the given fractions.

GCF of 68,56,783 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,524,156

LCM of Fractions 89/68,524/56,156/783 is 1818804

2 89, 524, 156
2 89, 262, 78
89, 131, 39

∴ So the LCM of the given numbers is 2 x 2 x 89 x 131 x 39 = 1818804

Least Common Multiple of 89,524,156 with GCF Formula

Least Common Multiple of 89,524,156 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 89,524,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,524,156) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(89,524,156) x common factors =1 x 4 = 4

LCM(89,524,156) = ( 89 × 524 × 156 ) / 4

LCM(89,524,156) = 7275216 / 4

LCM(89,524,156) = 1818804


Lets's calculate GCF of 68,56,783

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1818804/1

Therefore the LCM of Fractions 89/68,524/56,156/783 is 1818804

Greatest Common Factor of 68,56,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,56,783 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

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 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 68,56,783 . The biggest common factor number is the GCF number.
So the greatest common factor 68,56,783 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 89/68, 524/56, 156/783

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 89/68, 524/56, 156/783?

Answer: LCM of Numerators as per given numbers 89/68, 524/56, 156/783 is

LCM of Numerators i.e. for 89,524,156 is 1818804

GCF of denominators i.e. for 68,56,783 is 1.

Thus, LCM of Fractions is 1818804.Finally, LCM of Fractions for 89/68, 524/56, 156/783 is 1818804.