Least Common Multiple of 72/151, 972/289, 698/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/151, 972/289, 698/453 quickly i.e. 678456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/151, 972/289, 698/453 is 678456.

LCM(72/151, 972/289, 698/453) = 678456

LCM of 72/151, 972/289, 698/453

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 72/151,972/289,698/453

Given numbers are 72/151,972/289,698/453

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 72,972,698

Least Common Multiple of Numerators i.e. LCM of 72,972,698 is 678456.

GCF of Denominators means GCF of 151,289,453 as per the given fractions.

GCF of 151,289,453 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,972,698

LCM of Fractions 72/151,972/289,698/453 is 678456

2 72, 972, 698
2 36, 486, 349
3 18, 243, 349
3 6, 81, 349
2, 27, 349

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 27 x 349 = 678456

Least Common Multiple of 72,972,698 with GCF Formula

Least Common Multiple of 72,972,698 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 72,972,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,972,698) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(72,972,698) x common factors =2 x 36 = 72

LCM(72,972,698) = ( 72 × 972 × 698 ) / 72

LCM(72,972,698) = 48848832 / 72

LCM(72,972,698) = 678456


Lets's calculate GCF of 151,289,453

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 678456/1

Therefore the LCM of Fractions 72/151,972/289,698/453 is 678456

Greatest Common Factor of 151,289,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,289,453 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 151,289,453 . The biggest common factor number is the GCF number.
So the greatest common factor 151,289,453 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 72/151, 972/289, 698/453

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 72/151, 972/289, 698/453?

Answer: LCM of Numerators as per given numbers 72/151, 972/289, 698/453 is

LCM of Numerators i.e. for 72,972,698 is 678456

GCF of denominators i.e. for 151,289,453 is 1.

Thus, LCM of Fractions is 678456.Finally, LCM of Fractions for 72/151, 972/289, 698/453 is 678456.