Least Common Multiple of 64/209, 976/492, 968/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/209, 976/492, 968/980 quickly i.e. 472384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/209, 976/492, 968/980 is 472384.

LCM(64/209, 976/492, 968/980) = 472384

LCM of 64/209, 976/492, 968/980

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 64/209,976/492,968/980

Given numbers are 64/209,976/492,968/980

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 64,976,968

Least Common Multiple of Numerators i.e. LCM of 64,976,968 is 472384.

GCF of Denominators means GCF of 209,492,980 as per the given fractions.

GCF of 209,492,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,976,968

LCM of Fractions 64/209,976/492,968/980 is 472384

2 64, 976, 968
2 32, 488, 484
2 16, 244, 242
2 8, 122, 121
4, 61, 121

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 61 x 121 = 472384

Least Common Multiple of 64,976,968 with GCF Formula

Least Common Multiple of 64,976,968 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 64,976,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,976,968) = 8

common factors(in case of two or more numbers have common factors) = 16

GCF(64,976,968) x common factors =8 x 16 = 128

LCM(64,976,968) = ( 64 × 976 × 968 ) / 128

LCM(64,976,968) = 60465152 / 128

LCM(64,976,968) = 472384


Lets's calculate GCF of 209,492,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 472384/1

Therefore the LCM of Fractions 64/209,976/492,968/980 is 472384

Greatest Common Factor of 209,492,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,492,980 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 209,492,980 . The biggest common factor number is the GCF number.
So the greatest common factor 209,492,980 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 64/209, 976/492, 968/980

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 64/209, 976/492, 968/980?

Answer: LCM of Numerators as per given numbers 64/209, 976/492, 968/980 is

LCM of Numerators i.e. for 64,976,968 is 472384

GCF of denominators i.e. for 209,492,980 is 1.

Thus, LCM of Fractions is 472384.Finally, LCM of Fractions for 64/209, 976/492, 968/980 is 472384.