Least Common Multiple of 85/56, 11/393, 456/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/56, 11/393, 456/528 quickly i.e. 426360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/56, 11/393, 456/528 is 426360.

LCM(85/56, 11/393, 456/528) = 426360

LCM of 85/56, 11/393, 456/528

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 85/56,11/393,456/528

Given numbers are 85/56,11/393,456/528

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 85,11,456

Least Common Multiple of Numerators i.e. LCM of 85,11,456 is 426360.

GCF of Denominators means GCF of 56,393,528 as per the given fractions.

GCF of 56,393,528 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,11,456

LCM of Fractions 85/56,11/393,456/528 is 426360

Given numbers has no common factors except 1. So, there LCM is their product i.e 426360

Least Common Multiple of 85,11,456 with GCF Formula

Least Common Multiple of 85,11,456 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 85,11,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,11,456) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(85,11,456) x common factors =1 x 1 = 1

LCM(85,11,456) = ( 85 × 11 × 456 ) / 1

LCM(85,11,456) = 426360 / 1

LCM(85,11,456) = 426360


Lets's calculate GCF of 56,393,528

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426360/1

Therefore the LCM of Fractions 85/56,11/393,456/528 is 426360

Greatest Common Factor of 56,393,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,393,528 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 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 56,393,528 . The biggest common factor number is the GCF number.
So the greatest common factor 56,393,528 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 85/56, 11/393, 456/528

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 85/56, 11/393, 456/528?

Answer: LCM of Numerators as per given numbers 85/56, 11/393, 456/528 is

LCM of Numerators i.e. for 85,11,456 is 426360

GCF of denominators i.e. for 56,393,528 is 1.

Thus, LCM of Fractions is 426360.Finally, LCM of Fractions for 85/56, 11/393, 456/528 is 426360.