Least Common Multiple of 72/664, 49/546, 619/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/664, 49/546, 619/832 quickly i.e. 1091916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/664, 49/546, 619/832 is 1091916.

LCM(72/664, 49/546, 619/832) = 1091916

LCM of 72/664, 49/546, 619/832

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 72/664,49/546,619/832

Given numbers are 72/664,49/546,619/832

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 72,49,619

Least Common Multiple of Numerators i.e. LCM of 72,49,619 is 2183832.

GCF of Denominators means GCF of 664,546,832 as per the given fractions.

GCF of 664,546,832 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,49,619

LCM of Fractions 72/664,49/546,619/832 is 1091916

Given numbers has no common factors except 1. So, there LCM is their product i.e 2183832

Least Common Multiple of 72,49,619 with GCF Formula

Least Common Multiple of 72,49,619 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 72,49,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,49,619) = 1

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

GCF(72,49,619) x common factors =1 x 1 = 1

LCM(72,49,619) = ( 72 × 49 × 619 ) / 1

LCM(72,49,619) = 2183832 / 1

LCM(72,49,619) = 2183832


Lets's calculate GCF of 664,546,832

2 664, 546, 832
332, 273, 416

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2183832/2

Therefore the LCM of Fractions 72/664,49/546,619/832 is 1091916

Greatest Common Factor of 664,546,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,546,832 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 664,546,832 . The biggest common factor number is the GCF number.
So the greatest common factor 664,546,832 is 2.


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 72/664, 49/546, 619/832

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 72/664, 49/546, 619/832?

Answer: LCM of Numerators as per given numbers 72/664, 49/546, 619/832 is

LCM of Numerators i.e. for 72,49,619 is 2183832

GCF of denominators i.e. for 664,546,832 is 2.

Thus, LCM of Fractions is 1091916.Finally, LCM of Fractions for 72/664, 49/546, 619/832 is 1091916.