Least Common Multiple of 64/624, 68/310, 268/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/624, 68/310, 268/949 quickly i.e. 72896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/624, 68/310, 268/949 is 72896.

LCM(64/624, 68/310, 268/949) = 72896

LCM of 64/624, 68/310, 268/949

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 64/624,68/310,268/949

Given numbers are 64/624,68/310,268/949

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 64,68,268

Least Common Multiple of Numerators i.e. LCM of 64,68,268 is 72896.

GCF of Denominators means GCF of 624,310,949 as per the given fractions.

GCF of 624,310,949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,68,268

LCM of Fractions 64/624,68/310,268/949 is 72896

2 64, 68, 268
2 32, 34, 134
16, 17, 67

∴ So the LCM of the given numbers is 2 x 2 x 16 x 17 x 67 = 72896

Least Common Multiple of 64,68,268 with GCF Formula

Least Common Multiple of 64,68,268 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 64,68,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,68,268) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(64,68,268) x common factors =4 x 4 = 16

LCM(64,68,268) = ( 64 × 68 × 268 ) / 16

LCM(64,68,268) = 1166336 / 16

LCM(64,68,268) = 72896


Lets's calculate GCF of 624,310,949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72896/1

Therefore the LCM of Fractions 64/624,68/310,268/949 is 72896

Greatest Common Factor of 624,310,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,310,949 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 624,310,949 . The biggest common factor number is the GCF number.
So the greatest common factor 624,310,949 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 64/624, 68/310, 268/949

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 64/624, 68/310, 268/949?

Answer: LCM of Numerators as per given numbers 64/624, 68/310, 268/949 is

LCM of Numerators i.e. for 64,68,268 is 72896

GCF of denominators i.e. for 624,310,949 is 1.

Thus, LCM of Fractions is 72896.Finally, LCM of Fractions for 64/624, 68/310, 268/949 is 72896.