Least Common Multiple of 397/462, 531/329, 736/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 397/462, 531/329, 736/880 quickly i.e. 155153952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 397/462, 531/329, 736/880 is 155153952.

LCM(397/462, 531/329, 736/880) = 155153952

LCM of 397/462, 531/329, 736/880

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 397/462,531/329,736/880

Given numbers are 397/462,531/329,736/880

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 397,531,736

Least Common Multiple of Numerators i.e. LCM of 397,531,736 is 155153952.

GCF of Denominators means GCF of 462,329,880 as per the given fractions.

GCF of 462,329,880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 397,531,736

LCM of Fractions 397/462,531/329,736/880 is 155153952

Given numbers has no common factors except 1. So, there LCM is their product i.e 155153952

Least Common Multiple of 397,531,736 with GCF Formula

Least Common Multiple of 397,531,736 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 397,531,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,531,736) = 1

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

GCF(397,531,736) x common factors =1 x 1 = 1

LCM(397,531,736) = ( 397 × 531 × 736 ) / 1

LCM(397,531,736) = 155153952 / 1

LCM(397,531,736) = 155153952


Lets's calculate GCF of 462,329,880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155153952/1

Therefore the LCM of Fractions 397/462,531/329,736/880 is 155153952

Greatest Common Factor of 462,329,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,329,880 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 462,329,880 . The biggest common factor number is the GCF number.
So the greatest common factor 462,329,880 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 397/462, 531/329, 736/880

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 397/462, 531/329, 736/880?

Answer: LCM of Numerators as per given numbers 397/462, 531/329, 736/880 is

LCM of Numerators i.e. for 397,531,736 is 155153952

GCF of denominators i.e. for 462,329,880 is 1.

Thus, LCM of Fractions is 155153952.Finally, LCM of Fractions for 397/462, 531/329, 736/880 is 155153952.