Least Common Multiple of 85/534, 54/178, 775/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/534, 54/178, 775/826 quickly i.e. 355725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/534, 54/178, 775/826 is 355725.

LCM(85/534, 54/178, 775/826) = 355725

LCM of 85/534, 54/178, 775/826

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 85/534,54/178,775/826

Given numbers are 85/534,54/178,775/826

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 85,54,775

Least Common Multiple of Numerators i.e. LCM of 85,54,775 is 711450.

GCF of Denominators means GCF of 534,178,826 as per the given fractions.

GCF of 534,178,826 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,54,775

LCM of Fractions 85/534,54/178,775/826 is 355725

5 85, 54, 775
17, 54, 155

∴ So the LCM of the given numbers is 5 x 17 x 54 x 155 = 711450

Least Common Multiple of 85,54,775 with GCF Formula

Least Common Multiple of 85,54,775 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 85,54,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,54,775) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,54,775) x common factors =1 x 5 = 5

LCM(85,54,775) = ( 85 × 54 × 775 ) / 5

LCM(85,54,775) = 3557250 / 5

LCM(85,54,775) = 711450


Lets's calculate GCF of 534,178,826

2 534, 178, 826
267, 89, 413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 711450/2

Therefore the LCM of Fractions 85/534,54/178,775/826 is 355725

Greatest Common Factor of 534,178,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,178,826 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 534,178,826 . The biggest common factor number is the GCF number.
So the greatest common factor 534,178,826 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 85/534, 54/178, 775/826

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 85/534, 54/178, 775/826?

Answer: LCM of Numerators as per given numbers 85/534, 54/178, 775/826 is

LCM of Numerators i.e. for 85,54,775 is 711450

GCF of denominators i.e. for 534,178,826 is 2.

Thus, LCM of Fractions is 355725.Finally, LCM of Fractions for 85/534, 54/178, 775/826 is 355725.