Least Common Multiple of 964/66, 878/3960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 964/66, 878/3960 quickly i.e. 423196/66 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 964/66, 878/3960 is 423196/66.

LCM(964/66, 878/3960) = 423196/66

LCM of 964/66, 878/3960

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 964/66,878/3960

Given numbers are 964/66,878/3960

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 964,878

Least Common Multiple of Numerators i.e. LCM of 964,878 is 423196.

GCF of Denominators means GCF of 66,3960 as per the given fractions.

GCF of 66,3960 is 66 as it is the largest common factor for these numbers.

Lets's calculate LCM of 964,878

LCM of Fractions 964/66,878/3960 is 423196/66

2 964, 878
482, 439

∴ So the LCM of the given numbers is 2 x 482 x 439 = 423196

Least Common Multiple of 964,878 with GCF Formula

Least Common Multiple of 964,878 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 964,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,878) = 2

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

GCF(964,878) x common factors =2 x 1 = 2

LCM(964,878) = ( 964 × 878 ) / 2

LCM(964,878) = 846392 / 2

LCM(964,878) = 423196


Lets's calculate GCF of 66,3960

2 66, 3960
3 33, 1980
11 11, 660
1, 60

∴ So the GCF of the given numbers is 2 x 3 x 11 = 66

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 423196/66

Therefore the LCM of Fractions 964/66,878/3960 is 423196/66

Greatest Common Factor of 66,3960 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,3960 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 3960

List of positive integer factors of 3960 that divides 3960 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,18,20,22,24,30,33,36,40,44,45,55,60,66,72,88,90,99,110,120,132,165,180,198,220,264,330,360,396,440,495,660,792,990,1320,1980,3960

Greatest Common Factor

We found the factors 66,3960 . The biggest common factor number is the GCF number.
So the greatest common factor 66,3960 is 66.


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 964/66, 878/3960

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 964/66, 878/3960?

Answer: LCM of Numerators as per given numbers 964/66, 878/3960 is

LCM of Numerators i.e. for 964,878 is 423196

GCF of denominators i.e. for 66,3960 is 66.

Thus, LCM of Fractions is 423196/66.Finally, LCM of Fractions for 964/66, 878/3960 is 423196/66.