Least Common Multiple of 97/28, 37/10, 73/51, 11/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/28, 37/10, 73/51, 11/783 quickly i.e. 2881967 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/28, 37/10, 73/51, 11/783 is 2881967.

LCM(97/28, 37/10, 73/51, 11/783) = 2881967

LCM of 97/28, 37/10, 73/51, 11/783

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 97/28,37/10,73/51,11/783

Given numbers are 97/28,37/10,73/51,11/783

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 97,37,73,11

Least Common Multiple of Numerators i.e. LCM of 97,37,73,11 is 2881967.

GCF of Denominators means GCF of 28,10,51,783 as per the given fractions.

GCF of 28,10,51,783 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,37,73,11

LCM of Fractions 97/28,37/10,73/51,11/783 is 2881967

Given numbers has no common factors except 1. So, there LCM is their product i.e 2881967

Least Common Multiple of 97,37,73,11 with GCF Formula

Least Common Multiple of 97,37,73,11 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 97,37,73,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,37,73,11) = 1

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

GCF(97,37,73,11) x common factors =1 x 1 = 1

LCM(97,37,73,11) = ( 97 × 37 × 73 × 11 ) / 1

LCM(97,37,73,11) = 2881967 / 1

LCM(97,37,73,11) = 2881967


Lets's calculate GCF of 28,10,51,783

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2881967/1

Therefore the LCM of Fractions 97/28,37/10,73/51,11/783 is 2881967

Greatest Common Factor of 28,10,51,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,10,51,783 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 28,10,51,783 . The biggest common factor number is the GCF number.
So the greatest common factor 28,10,51,783 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 97/28, 37/10, 73/51, 11/783

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 97/28, 37/10, 73/51, 11/783?

Answer: LCM of Numerators as per given numbers 97/28, 37/10, 73/51, 11/783 is

LCM of Numerators i.e. for 97,37,73,11 is 2881967

GCF of denominators i.e. for 28,10,51,783 is 1.

Thus, LCM of Fractions is 2881967.Finally, LCM of Fractions for 97/28, 37/10, 73/51, 11/783 is 2881967.