Least Common Multiple of 878/13, 951/33, 100/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 878/13, 951/33, 100/170 quickly i.e. 41748900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 878/13, 951/33, 100/170 is 41748900.

LCM(878/13, 951/33, 100/170) = 41748900

LCM of 878/13, 951/33, 100/170

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 878/13,951/33,100/170

Given numbers are 878/13,951/33,100/170

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 878,951,100

Least Common Multiple of Numerators i.e. LCM of 878,951,100 is 41748900.

GCF of Denominators means GCF of 13,33,170 as per the given fractions.

GCF of 13,33,170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 878,951,100

LCM of Fractions 878/13,951/33,100/170 is 41748900

2 878, 951, 100
439, 951, 50

∴ So the LCM of the given numbers is 2 x 439 x 951 x 50 = 41748900

Least Common Multiple of 878,951,100 with GCF Formula

Least Common Multiple of 878,951,100 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 878,951,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,951,100) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(878,951,100) x common factors =1 x 2 = 2

LCM(878,951,100) = ( 878 × 951 × 100 ) / 2

LCM(878,951,100) = 83497800 / 2

LCM(878,951,100) = 41748900


Lets's calculate GCF of 13,33,170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41748900/1

Therefore the LCM of Fractions 878/13,951/33,100/170 is 41748900

Greatest Common Factor of 13,33,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,33,170 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 13,33,170 . The biggest common factor number is the GCF number.
So the greatest common factor 13,33,170 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 878/13, 951/33, 100/170

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 878/13, 951/33, 100/170?

Answer: LCM of Numerators as per given numbers 878/13, 951/33, 100/170 is

LCM of Numerators i.e. for 878,951,100 is 41748900

GCF of denominators i.e. for 13,33,170 is 1.

Thus, LCM of Fractions is 41748900.Finally, LCM of Fractions for 878/13, 951/33, 100/170 is 41748900.