Least Common Multiple of 49/48, 71/76, 595/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/48, 71/76, 595/432 quickly i.e. 295715/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/48, 71/76, 595/432 is 295715/4.

LCM(49/48, 71/76, 595/432) = 295715/4

LCM of 49/48, 71/76, 595/432

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 49/48,71/76,595/432

Given numbers are 49/48,71/76,595/432

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 49,71,595

Least Common Multiple of Numerators i.e. LCM of 49,71,595 is 295715.

GCF of Denominators means GCF of 48,76,432 as per the given fractions.

GCF of 48,76,432 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,71,595

LCM of Fractions 49/48,71/76,595/432 is 295715/4

7 49, 71, 595
7, 71, 85

∴ So the LCM of the given numbers is 7 x 7 x 71 x 85 = 295715

Least Common Multiple of 49,71,595 with GCF Formula

Least Common Multiple of 49,71,595 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 49,71,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,71,595) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,71,595) x common factors =1 x 7 = 7

LCM(49,71,595) = ( 49 × 71 × 595 ) / 7

LCM(49,71,595) = 2070005 / 7

LCM(49,71,595) = 295715


Lets's calculate GCF of 48,76,432

2 48, 76, 432
2 24, 38, 216
12, 19, 108

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295715/4

Therefore the LCM of Fractions 49/48,71/76,595/432 is 295715/4

Greatest Common Factor of 48,76,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,76,432 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 48,76,432 . The biggest common factor number is the GCF number.
So the greatest common factor 48,76,432 is 4.


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 49/48, 71/76, 595/432

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 49/48, 71/76, 595/432?

Answer: LCM of Numerators as per given numbers 49/48, 71/76, 595/432 is

LCM of Numerators i.e. for 49,71,595 is 295715

GCF of denominators i.e. for 48,76,432 is 4.

Thus, LCM of Fractions is 295715/4.Finally, LCM of Fractions for 49/48, 71/76, 595/432 is 295715/4.