Least Common Multiple of 45/645, 88/358, 731/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/645, 88/358, 731/694 quickly i.e. 2894760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/645, 88/358, 731/694 is 2894760.

LCM(45/645, 88/358, 731/694) = 2894760

LCM of 45/645, 88/358, 731/694

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 45/645,88/358,731/694

Given numbers are 45/645,88/358,731/694

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 45,88,731

Least Common Multiple of Numerators i.e. LCM of 45,88,731 is 2894760.

GCF of Denominators means GCF of 645,358,694 as per the given fractions.

GCF of 645,358,694 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,88,731

LCM of Fractions 45/645,88/358,731/694 is 2894760

Given numbers has no common factors except 1. So, there LCM is their product i.e 2894760

Least Common Multiple of 45,88,731 with GCF Formula

Least Common Multiple of 45,88,731 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 45,88,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,88,731) = 1

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

GCF(45,88,731) x common factors =1 x 1 = 1

LCM(45,88,731) = ( 45 × 88 × 731 ) / 1

LCM(45,88,731) = 2894760 / 1

LCM(45,88,731) = 2894760


Lets's calculate GCF of 645,358,694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2894760/1

Therefore the LCM of Fractions 45/645,88/358,731/694 is 2894760

Greatest Common Factor of 645,358,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,358,694 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 645,358,694 . The biggest common factor number is the GCF number.
So the greatest common factor 645,358,694 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 45/645, 88/358, 731/694

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 45/645, 88/358, 731/694?

Answer: LCM of Numerators as per given numbers 45/645, 88/358, 731/694 is

LCM of Numerators i.e. for 45,88,731 is 2894760

GCF of denominators i.e. for 645,358,694 is 1.

Thus, LCM of Fractions is 2894760.Finally, LCM of Fractions for 45/645, 88/358, 731/694 is 2894760.