Least Common Multiple of 56/69, 25/71, 42/96, 45/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/69, 25/71, 42/96, 45/529 quickly i.e. 12600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/69, 25/71, 42/96, 45/529 is 12600.

LCM(56/69, 25/71, 42/96, 45/529) = 12600

LCM of 56/69, 25/71, 42/96, 45/529

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 56/69,25/71,42/96,45/529

Given numbers are 56/69,25/71,42/96,45/529

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 56,25,42,45

Least Common Multiple of Numerators i.e. LCM of 56,25,42,45 is 12600.

GCF of Denominators means GCF of 69,71,96,529 as per the given fractions.

GCF of 69,71,96,529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,25,42,45

LCM of Fractions 56/69,25/71,42/96,45/529 is 12600

2 56, 25, 42, 45
3 28, 25, 21, 45
5 28, 25, 7, 15
7 28, 5, 7, 3
4, 5, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 4 x 5 x 1 x 3 = 12600

Least Common Multiple of 56,25,42,45 with GCF Formula

Least Common Multiple of 56,25,42,45 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 56,25,42,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,25,42,45) = 1

common factors(in case of two or more numbers have common factors) = 210

GCF(56,25,42,45) x common factors =1 x 210 = 210

LCM(56,25,42,45) = ( 56 × 25 × 42 × 45 ) / 210

LCM(56,25,42,45) = 2646000 / 210

LCM(56,25,42,45) = 12600


Lets's calculate GCF of 69,71,96,529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12600/1

Therefore the LCM of Fractions 56/69,25/71,42/96,45/529 is 12600

Greatest Common Factor of 69,71,96,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,71,96,529 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 69,71,96,529 . The biggest common factor number is the GCF number.
So the greatest common factor 69,71,96,529 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 56/69, 25/71, 42/96, 45/529

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 56/69, 25/71, 42/96, 45/529?

Answer: LCM of Numerators as per given numbers 56/69, 25/71, 42/96, 45/529 is

LCM of Numerators i.e. for 56,25,42,45 is 12600

GCF of denominators i.e. for 69,71,96,529 is 1.

Thus, LCM of Fractions is 12600.Finally, LCM of Fractions for 56/69, 25/71, 42/96, 45/529 is 12600.