Least Common Multiple of 31/69, 70/267, 491/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/69, 70/267, 491/456 quickly i.e. 1065470/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/69, 70/267, 491/456 is 1065470/3.

LCM(31/69, 70/267, 491/456) = 1065470/3

LCM of 31/69, 70/267, 491/456

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 31/69,70/267,491/456

Given numbers are 31/69,70/267,491/456

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 31,70,491

Least Common Multiple of Numerators i.e. LCM of 31,70,491 is 1065470.

GCF of Denominators means GCF of 69,267,456 as per the given fractions.

GCF of 69,267,456 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,70,491

LCM of Fractions 31/69,70/267,491/456 is 1065470/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1065470

Least Common Multiple of 31,70,491 with GCF Formula

Least Common Multiple of 31,70,491 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 31,70,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,70,491) = 1

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

GCF(31,70,491) x common factors =1 x 1 = 1

LCM(31,70,491) = ( 31 × 70 × 491 ) / 1

LCM(31,70,491) = 1065470 / 1

LCM(31,70,491) = 1065470


Lets's calculate GCF of 69,267,456

3 69, 267, 456
23, 89, 152

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1065470/3

Therefore the LCM of Fractions 31/69,70/267,491/456 is 1065470/3

Greatest Common Factor of 69,267,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,267,456 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 69,267,456 . The biggest common factor number is the GCF number.
So the greatest common factor 69,267,456 is 3.


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 31/69, 70/267, 491/456

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 31/69, 70/267, 491/456?

Answer: LCM of Numerators as per given numbers 31/69, 70/267, 491/456 is

LCM of Numerators i.e. for 31,70,491 is 1065470

GCF of denominators i.e. for 69,267,456 is 3.

Thus, LCM of Fractions is 1065470/3.Finally, LCM of Fractions for 31/69, 70/267, 491/456 is 1065470/3.