Least Common Multiple of 85/43, 53/22, 37/54, 67/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/43, 53/22, 37/54, 67/168 quickly i.e. 11167895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/43, 53/22, 37/54, 67/168 is 11167895.

LCM(85/43, 53/22, 37/54, 67/168) = 11167895

LCM of 85/43, 53/22, 37/54, 67/168

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 85/43,53/22,37/54,67/168

Given numbers are 85/43,53/22,37/54,67/168

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 85,53,37,67

Least Common Multiple of Numerators i.e. LCM of 85,53,37,67 is 11167895.

GCF of Denominators means GCF of 43,22,54,168 as per the given fractions.

GCF of 43,22,54,168 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,53,37,67

LCM of Fractions 85/43,53/22,37/54,67/168 is 11167895

Given numbers has no common factors except 1. So, there LCM is their product i.e 11167895

Least Common Multiple of 85,53,37,67 with GCF Formula

Least Common Multiple of 85,53,37,67 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 85,53,37,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,53,37,67) = 1

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

GCF(85,53,37,67) x common factors =1 x 1 = 1

LCM(85,53,37,67) = ( 85 × 53 × 37 × 67 ) / 1

LCM(85,53,37,67) = 11167895 / 1

LCM(85,53,37,67) = 11167895


Lets's calculate GCF of 43,22,54,168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11167895/1

Therefore the LCM of Fractions 85/43,53/22,37/54,67/168 is 11167895

Greatest Common Factor of 43,22,54,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,22,54,168 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 43,22,54,168 . The biggest common factor number is the GCF number.
So the greatest common factor 43,22,54,168 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 85/43, 53/22, 37/54, 67/168

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 85/43, 53/22, 37/54, 67/168?

Answer: LCM of Numerators as per given numbers 85/43, 53/22, 37/54, 67/168 is

LCM of Numerators i.e. for 85,53,37,67 is 11167895

GCF of denominators i.e. for 43,22,54,168 is 1.

Thus, LCM of Fractions is 11167895.Finally, LCM of Fractions for 85/43, 53/22, 37/54, 67/168 is 11167895.