Least Common Multiple of 878/66, 150/60, 946/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 878/66, 150/60, 946/237 quickly i.e. 10382350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 878/66, 150/60, 946/237 is 10382350.

LCM(878/66, 150/60, 946/237) = 10382350

LCM of 878/66, 150/60, 946/237

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 878/66,150/60,946/237

Given numbers are 878/66,150/60,946/237

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 878,150,946

Least Common Multiple of Numerators i.e. LCM of 878,150,946 is 31147050.

GCF of Denominators means GCF of 66,60,237 as per the given fractions.

GCF of 66,60,237 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 878,150,946

LCM of Fractions 878/66,150/60,946/237 is 10382350

2 878, 150, 946
439, 75, 473

∴ So the LCM of the given numbers is 2 x 439 x 75 x 473 = 31147050

Least Common Multiple of 878,150,946 with GCF Formula

Least Common Multiple of 878,150,946 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 878,150,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,150,946) = 2

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

GCF(878,150,946) x common factors =2 x 2 = 4

LCM(878,150,946) = ( 878 × 150 × 946 ) / 4

LCM(878,150,946) = 124588200 / 4

LCM(878,150,946) = 31147050


Lets's calculate GCF of 66,60,237

3 66, 60, 237
22, 20, 79

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31147050/3

Therefore the LCM of Fractions 878/66,150/60,946/237 is 10382350

Greatest Common Factor of 66,60,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,60,237 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 66,60,237 . The biggest common factor number is the GCF number.
So the greatest common factor 66,60,237 is 3.


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 878/66, 150/60, 946/237

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 878/66, 150/60, 946/237?

Answer: LCM of Numerators as per given numbers 878/66, 150/60, 946/237 is

LCM of Numerators i.e. for 878,150,946 is 31147050

GCF of denominators i.e. for 66,60,237 is 3.

Thus, LCM of Fractions is 10382350.Finally, LCM of Fractions for 878/66, 150/60, 946/237 is 10382350.