Least Common Multiple of 964/445, 398/696, 558/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 964/445, 398/696, 558/360 quickly i.e. 53522244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 964/445, 398/696, 558/360 is 53522244.

LCM(964/445, 398/696, 558/360) = 53522244

LCM of 964/445, 398/696, 558/360

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 964/445,398/696,558/360

Given numbers are 964/445,398/696,558/360

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 964,398,558

Least Common Multiple of Numerators i.e. LCM of 964,398,558 is 53522244.

GCF of Denominators means GCF of 445,696,360 as per the given fractions.

GCF of 445,696,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 964,398,558

LCM of Fractions 964/445,398/696,558/360 is 53522244

2 964, 398, 558
482, 199, 279

∴ So the LCM of the given numbers is 2 x 482 x 199 x 279 = 53522244

Least Common Multiple of 964,398,558 with GCF Formula

Least Common Multiple of 964,398,558 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 964,398,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,398,558) = 2

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

GCF(964,398,558) x common factors =2 x 2 = 4

LCM(964,398,558) = ( 964 × 398 × 558 ) / 4

LCM(964,398,558) = 214088976 / 4

LCM(964,398,558) = 53522244


Lets's calculate GCF of 445,696,360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53522244/1

Therefore the LCM of Fractions 964/445,398/696,558/360 is 53522244

Greatest Common Factor of 445,696,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,696,360 By Matching Biggest Common Factor Method

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 445,696,360 . The biggest common factor number is the GCF number.
So the greatest common factor 445,696,360 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 964/445, 398/696, 558/360

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 964/445, 398/696, 558/360?

Answer: LCM of Numerators as per given numbers 964/445, 398/696, 558/360 is

LCM of Numerators i.e. for 964,398,558 is 53522244

GCF of denominators i.e. for 445,696,360 is 1.

Thus, LCM of Fractions is 53522244.Finally, LCM of Fractions for 964/445, 398/696, 558/360 is 53522244.