Least Common Multiple of 64/449, 292/544, 152/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/449, 292/544, 152/736 quickly i.e. 88768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/449, 292/544, 152/736 is 88768.

LCM(64/449, 292/544, 152/736) = 88768

LCM of 64/449, 292/544, 152/736

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 64/449,292/544,152/736

Given numbers are 64/449,292/544,152/736

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 64,292,152

Least Common Multiple of Numerators i.e. LCM of 64,292,152 is 88768.

GCF of Denominators means GCF of 449,544,736 as per the given fractions.

GCF of 449,544,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,292,152

LCM of Fractions 64/449,292/544,152/736 is 88768

2 64, 292, 152
2 32, 146, 76
2 16, 73, 38
8, 73, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 73 x 19 = 88768

Least Common Multiple of 64,292,152 with GCF Formula

Least Common Multiple of 64,292,152 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 64,292,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,292,152) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(64,292,152) x common factors =4 x 8 = 32

LCM(64,292,152) = ( 64 × 292 × 152 ) / 32

LCM(64,292,152) = 2840576 / 32

LCM(64,292,152) = 88768


Lets's calculate GCF of 449,544,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88768/1

Therefore the LCM of Fractions 64/449,292/544,152/736 is 88768

Greatest Common Factor of 449,544,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,544,736 By Matching Biggest Common Factor Method

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 449,544,736 . The biggest common factor number is the GCF number.
So the greatest common factor 449,544,736 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 64/449, 292/544, 152/736

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 64/449, 292/544, 152/736?

Answer: LCM of Numerators as per given numbers 64/449, 292/544, 152/736 is

LCM of Numerators i.e. for 64,292,152 is 88768

GCF of denominators i.e. for 449,544,736 is 1.

Thus, LCM of Fractions is 88768.Finally, LCM of Fractions for 64/449, 292/544, 152/736 is 88768.