Least Common Multiple of 45/78, 36/53, 60/97, 64/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/78, 36/53, 60/97, 64/303 quickly i.e. 2880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/78, 36/53, 60/97, 64/303 is 2880.

LCM(45/78, 36/53, 60/97, 64/303) = 2880

LCM of 45/78, 36/53, 60/97, 64/303

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 45/78,36/53,60/97,64/303

Given numbers are 45/78,36/53,60/97,64/303

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 45,36,60,64

Least Common Multiple of Numerators i.e. LCM of 45,36,60,64 is 2880.

GCF of Denominators means GCF of 78,53,97,303 as per the given fractions.

GCF of 78,53,97,303 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,36,60,64

LCM of Fractions 45/78,36/53,60/97,64/303 is 2880

2 45, 36, 60, 64
2 45, 18, 30, 32
3 45, 9, 15, 16
3 5, 3, 15, 16
5 5, 1, 5, 16
1, 1, 1, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 1 x 1 x 16 = 2880

Least Common Multiple of 45,36,60,64 with GCF Formula

Least Common Multiple of 45,36,60,64 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 45,36,60,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,36,60,64) = 1

common factors(in case of two or more numbers have common factors) = 2160

GCF(45,36,60,64) x common factors =1 x 2160 = 2160

LCM(45,36,60,64) = ( 45 × 36 × 60 × 64 ) / 2160

LCM(45,36,60,64) = 6220800 / 2160

LCM(45,36,60,64) = 2880


Lets's calculate GCF of 78,53,97,303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2880/1

Therefore the LCM of Fractions 45/78,36/53,60/97,64/303 is 2880

Greatest Common Factor of 78,53,97,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,53,97,303 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 78,53,97,303 . The biggest common factor number is the GCF number.
So the greatest common factor 78,53,97,303 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 45/78, 36/53, 60/97, 64/303

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 45/78, 36/53, 60/97, 64/303?

Answer: LCM of Numerators as per given numbers 45/78, 36/53, 60/97, 64/303 is

LCM of Numerators i.e. for 45,36,60,64 is 2880

GCF of denominators i.e. for 78,53,97,303 is 1.

Thus, LCM of Fractions is 2880.Finally, LCM of Fractions for 45/78, 36/53, 60/97, 64/303 is 2880.