Least Common Multiple of 2764/66, 2339/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2764/66, 2339/572 quickly i.e. 6464996/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2764/66, 2339/572 is 6464996/22.

LCM(2764/66, 2339/572) = 6464996/22

LCM of 2764/66, 2339/572

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 2764/66,2339/572

Given numbers are 2764/66,2339/572

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 2764,2339

Least Common Multiple of Numerators i.e. LCM of 2764,2339 is 6464996.

GCF of Denominators means GCF of 66,572 as per the given fractions.

GCF of 66,572 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2764,2339

LCM of Fractions 2764/66,2339/572 is 6464996/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 6464996

Least Common Multiple of 2764,2339 with GCF Formula

Least Common Multiple of 2764,2339 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 2764,2339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2764,2339) = 1

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

GCF(2764,2339) x common factors =1 x 1 = 1

LCM(2764,2339) = ( 2764 × 2339 ) / 1

LCM(2764,2339) = 6464996 / 1

LCM(2764,2339) = 6464996


Lets's calculate GCF of 66,572

2 66, 572
11 33, 286
3, 26

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6464996/22

Therefore the LCM of Fractions 2764/66,2339/572 is 6464996/22

Greatest Common Factor of 66,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,572 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 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 66,572 . The biggest common factor number is the GCF number.
So the greatest common factor 66,572 is 22.


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 2764/66, 2339/572

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 2764/66, 2339/572?

Answer: LCM of Numerators as per given numbers 2764/66, 2339/572 is

LCM of Numerators i.e. for 2764,2339 is 6464996

GCF of denominators i.e. for 66,572 is 22.

Thus, LCM of Fractions is 6464996/22.Finally, LCM of Fractions for 2764/66, 2339/572 is 6464996/22.