Least Common Multiple of 39/438, 977/772, 448/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/438, 977/772, 448/152 quickly i.e. 8535072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/438, 977/772, 448/152 is 8535072.

LCM(39/438, 977/772, 448/152) = 8535072

LCM of 39/438, 977/772, 448/152

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 39/438,977/772,448/152

Given numbers are 39/438,977/772,448/152

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 39,977,448

Least Common Multiple of Numerators i.e. LCM of 39,977,448 is 17070144.

GCF of Denominators means GCF of 438,772,152 as per the given fractions.

GCF of 438,772,152 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,977,448

LCM of Fractions 39/438,977/772,448/152 is 8535072

Given numbers has no common factors except 1. So, there LCM is their product i.e 17070144

Least Common Multiple of 39,977,448 with GCF Formula

Least Common Multiple of 39,977,448 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 39,977,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,977,448) = 1

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

GCF(39,977,448) x common factors =1 x 1 = 1

LCM(39,977,448) = ( 39 × 977 × 448 ) / 1

LCM(39,977,448) = 17070144 / 1

LCM(39,977,448) = 17070144


Lets's calculate GCF of 438,772,152

2 438, 772, 152
219, 386, 76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17070144/2

Therefore the LCM of Fractions 39/438,977/772,448/152 is 8535072

Greatest Common Factor of 438,772,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,772,152 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 438,772,152 . The biggest common factor number is the GCF number.
So the greatest common factor 438,772,152 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 39/438, 977/772, 448/152

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 39/438, 977/772, 448/152?

Answer: LCM of Numerators as per given numbers 39/438, 977/772, 448/152 is

LCM of Numerators i.e. for 39,977,448 is 17070144

GCF of denominators i.e. for 438,772,152 is 2.

Thus, LCM of Fractions is 8535072.Finally, LCM of Fractions for 39/438, 977/772, 448/152 is 8535072.