Least Common Multiple of 297/23, 683/56, 540/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/23, 683/56, 540/370 quickly i.e. 4057020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/23, 683/56, 540/370 is 4057020.

LCM(297/23, 683/56, 540/370) = 4057020

LCM of 297/23, 683/56, 540/370

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 297/23,683/56,540/370

Given numbers are 297/23,683/56,540/370

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 297,683,540

Least Common Multiple of Numerators i.e. LCM of 297,683,540 is 4057020.

GCF of Denominators means GCF of 23,56,370 as per the given fractions.

GCF of 23,56,370 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,683,540

LCM of Fractions 297/23,683/56,540/370 is 4057020

3 297, 683, 540
3 99, 683, 180
3 33, 683, 60
11, 683, 20

∴ So the LCM of the given numbers is 3 x 3 x 3 x 11 x 683 x 20 = 4057020

Least Common Multiple of 297,683,540 with GCF Formula

Least Common Multiple of 297,683,540 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 297,683,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,683,540) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(297,683,540) x common factors =1 x 27 = 27

LCM(297,683,540) = ( 297 × 683 × 540 ) / 27

LCM(297,683,540) = 109539540 / 27

LCM(297,683,540) = 4057020


Lets's calculate GCF of 23,56,370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4057020/1

Therefore the LCM of Fractions 297/23,683/56,540/370 is 4057020

Greatest Common Factor of 23,56,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,56,370 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 23,56,370 . The biggest common factor number is the GCF number.
So the greatest common factor 23,56,370 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 297/23, 683/56, 540/370

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 297/23, 683/56, 540/370?

Answer: LCM of Numerators as per given numbers 297/23, 683/56, 540/370 is

LCM of Numerators i.e. for 297,683,540 is 4057020

GCF of denominators i.e. for 23,56,370 is 1.

Thus, LCM of Fractions is 4057020.Finally, LCM of Fractions for 297/23, 683/56, 540/370 is 4057020.