Least Common Multiple of 85/856, 436/167, 955/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/856, 436/167, 955/152 quickly i.e. 7078460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/856, 436/167, 955/152 is 7078460.

LCM(85/856, 436/167, 955/152) = 7078460

LCM of 85/856, 436/167, 955/152

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 85/856,436/167,955/152

Given numbers are 85/856,436/167,955/152

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 85,436,955

Least Common Multiple of Numerators i.e. LCM of 85,436,955 is 7078460.

GCF of Denominators means GCF of 856,167,152 as per the given fractions.

GCF of 856,167,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,436,955

LCM of Fractions 85/856,436/167,955/152 is 7078460

5 85, 436, 955
17, 436, 191

∴ So the LCM of the given numbers is 5 x 17 x 436 x 191 = 7078460

Least Common Multiple of 85,436,955 with GCF Formula

Least Common Multiple of 85,436,955 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 85,436,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,436,955) = 1

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

GCF(85,436,955) x common factors =1 x 5 = 5

LCM(85,436,955) = ( 85 × 436 × 955 ) / 5

LCM(85,436,955) = 35392300 / 5

LCM(85,436,955) = 7078460


Lets's calculate GCF of 856,167,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7078460/1

Therefore the LCM of Fractions 85/856,436/167,955/152 is 7078460

Greatest Common Factor of 856,167,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,167,152 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 856,167,152 . The biggest common factor number is the GCF number.
So the greatest common factor 856,167,152 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 85/856, 436/167, 955/152

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 85/856, 436/167, 955/152?

Answer: LCM of Numerators as per given numbers 85/856, 436/167, 955/152 is

LCM of Numerators i.e. for 85,436,955 is 7078460

GCF of denominators i.e. for 856,167,152 is 1.

Thus, LCM of Fractions is 7078460.Finally, LCM of Fractions for 85/856, 436/167, 955/152 is 7078460.