Least Common Multiple of 35/467, 896/560, 167/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/467, 896/560, 167/888 quickly i.e. 748160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/467, 896/560, 167/888 is 748160.

LCM(35/467, 896/560, 167/888) = 748160

LCM of 35/467, 896/560, 167/888

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 35/467,896/560,167/888

Given numbers are 35/467,896/560,167/888

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 35,896,167

Least Common Multiple of Numerators i.e. LCM of 35,896,167 is 748160.

GCF of Denominators means GCF of 467,560,888 as per the given fractions.

GCF of 467,560,888 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,896,167

LCM of Fractions 35/467,896/560,167/888 is 748160

7 35, 896, 167
5, 128, 167

∴ So the LCM of the given numbers is 7 x 5 x 128 x 167 = 748160

Least Common Multiple of 35,896,167 with GCF Formula

Least Common Multiple of 35,896,167 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 35,896,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,896,167) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,896,167) x common factors =1 x 7 = 7

LCM(35,896,167) = ( 35 × 896 × 167 ) / 7

LCM(35,896,167) = 5237120 / 7

LCM(35,896,167) = 748160


Lets's calculate GCF of 467,560,888

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 748160/1

Therefore the LCM of Fractions 35/467,896/560,167/888 is 748160

Greatest Common Factor of 467,560,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,560,888 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 467,560,888 . The biggest common factor number is the GCF number.
So the greatest common factor 467,560,888 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 35/467, 896/560, 167/888

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 35/467, 896/560, 167/888?

Answer: LCM of Numerators as per given numbers 35/467, 896/560, 167/888 is

LCM of Numerators i.e. for 35,896,167 is 748160

GCF of denominators i.e. for 467,560,888 is 1.

Thus, LCM of Fractions is 748160.Finally, LCM of Fractions for 35/467, 896/560, 167/888 is 748160.