Least Common Multiple of 73/111, 240/708, 974/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/111, 240/708, 974/421 quickly i.e. 8532240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/111, 240/708, 974/421 is 8532240.

LCM(73/111, 240/708, 974/421) = 8532240

LCM of 73/111, 240/708, 974/421

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 73/111,240/708,974/421

Given numbers are 73/111,240/708,974/421

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 73,240,974

Least Common Multiple of Numerators i.e. LCM of 73,240,974 is 8532240.

GCF of Denominators means GCF of 111,708,421 as per the given fractions.

GCF of 111,708,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,240,974

LCM of Fractions 73/111,240/708,974/421 is 8532240

2 73, 240, 974
73, 120, 487

∴ So the LCM of the given numbers is 2 x 73 x 120 x 487 = 8532240

Least Common Multiple of 73,240,974 with GCF Formula

Least Common Multiple of 73,240,974 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 73,240,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,240,974) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(73,240,974) x common factors =1 x 2 = 2

LCM(73,240,974) = ( 73 × 240 × 974 ) / 2

LCM(73,240,974) = 17064480 / 2

LCM(73,240,974) = 8532240


Lets's calculate GCF of 111,708,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8532240/1

Therefore the LCM of Fractions 73/111,240/708,974/421 is 8532240

Greatest Common Factor of 111,708,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,708,421 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 111,708,421 . The biggest common factor number is the GCF number.
So the greatest common factor 111,708,421 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 73/111, 240/708, 974/421

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 73/111, 240/708, 974/421?

Answer: LCM of Numerators as per given numbers 73/111, 240/708, 974/421 is

LCM of Numerators i.e. for 73,240,974 is 8532240

GCF of denominators i.e. for 111,708,421 is 1.

Thus, LCM of Fractions is 8532240.Finally, LCM of Fractions for 73/111, 240/708, 974/421 is 8532240.