Least Common Multiple of 85/534, 15/791, 278/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/534, 15/791, 278/468 quickly i.e. 70890 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, 15/791, 278/468 is 70890.

LCM(85/534, 15/791, 278/468) = 70890

LCM of 85/534, 15/791, 278/468

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 85/534,15/791,278/468

Given numbers are 85/534,15/791,278/468

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 85,15,278

Least Common Multiple of Numerators i.e. LCM of 85,15,278 is 70890.

GCF of Denominators means GCF of 534,791,468 as per the given fractions.

GCF of 534,791,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,15,278

LCM of Fractions 85/534,15/791,278/468 is 70890

5 85, 15, 278
17, 3, 278

∴ So the LCM of the given numbers is 5 x 17 x 3 x 278 = 70890

Least Common Multiple of 85,15,278 with GCF Formula

Least Common Multiple of 85,15,278 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 85,15,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,15,278) = 1

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

GCF(85,15,278) x common factors =1 x 5 = 5

LCM(85,15,278) = ( 85 × 15 × 278 ) / 5

LCM(85,15,278) = 354450 / 5

LCM(85,15,278) = 70890


Lets's calculate GCF of 534,791,468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70890/1

Therefore the LCM of Fractions 85/534,15/791,278/468 is 70890

Greatest Common Factor of 534,791,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,791,468 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 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 534,791,468 . The biggest common factor number is the GCF number.
So the greatest common factor 534,791,468 is 1.


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, 15/791, 278/468

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, 15/791, 278/468?

Answer: LCM of Numerators as per given numbers 85/534, 15/791, 278/468 is

LCM of Numerators i.e. for 85,15,278 is 70890

GCF of denominators i.e. for 534,791,468 is 1.

Thus, LCM of Fractions is 70890.Finally, LCM of Fractions for 85/534, 15/791, 278/468 is 70890.