Least Common Multiple of 49/69, 96/21, 45/57, 84/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/69, 96/21, 45/57, 84/72 quickly i.e. 23520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/69, 96/21, 45/57, 84/72 is 23520.

LCM(49/69, 96/21, 45/57, 84/72) = 23520

LCM of 49/69, 96/21, 45/57, 84/72

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 49/69,96/21,45/57,84/72

Given numbers are 49/69,96/21,45/57,84/72

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 49,96,45,84

Least Common Multiple of Numerators i.e. LCM of 49,96,45,84 is 70560.

GCF of Denominators means GCF of 69,21,57,72 as per the given fractions.

GCF of 69,21,57,72 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,96,45,84

LCM of Fractions 49/69,96/21,45/57,84/72 is 23520

2 49, 96, 45, 84
2 49, 48, 45, 42
3 49, 24, 45, 21
7 49, 8, 15, 7
1, 8, 15, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 8 x 15 x 7 = 70560

Least Common Multiple of 49,96,45,84 with GCF Formula

Least Common Multiple of 49,96,45,84 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 49,96,45,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,96,45,84) = 1

common factors(in case of two or more numbers have common factors) = 252

GCF(49,96,45,84) x common factors =1 x 252 = 252

LCM(49,96,45,84) = ( 49 × 96 × 45 × 84 ) / 252

LCM(49,96,45,84) = 17781120 / 252

LCM(49,96,45,84) = 70560


Lets's calculate GCF of 69,21,57,72

3 69, 21, 57, 72
23, 7, 19, 24

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70560/3

Therefore the LCM of Fractions 49/69,96/21,45/57,84/72 is 23520

Greatest Common Factor of 69,21,57,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,21,57,72 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Greatest Common Factor

We found the factors 69,21,57,72 . The biggest common factor number is the GCF number.
So the greatest common factor 69,21,57,72 is 3.


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 49/69, 96/21, 45/57, 84/72

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 49/69, 96/21, 45/57, 84/72?

Answer: LCM of Numerators as per given numbers 49/69, 96/21, 45/57, 84/72 is

LCM of Numerators i.e. for 49,96,45,84 is 70560

GCF of denominators i.e. for 69,21,57,72 is 3.

Thus, LCM of Fractions is 23520.Finally, LCM of Fractions for 49/69, 96/21, 45/57, 84/72 is 23520.