Least Common Multiple of 45/427, 735/59, 465/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/427, 735/59, 465/932 quickly i.e. 68355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/427, 735/59, 465/932 is 68355.

LCM(45/427, 735/59, 465/932) = 68355

LCM of 45/427, 735/59, 465/932

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 45/427,735/59,465/932

Given numbers are 45/427,735/59,465/932

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 45,735,465

Least Common Multiple of Numerators i.e. LCM of 45,735,465 is 68355.

GCF of Denominators means GCF of 427,59,932 as per the given fractions.

GCF of 427,59,932 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,735,465

LCM of Fractions 45/427,735/59,465/932 is 68355

3 45, 735, 465
5 15, 245, 155
3, 49, 31

∴ So the LCM of the given numbers is 3 x 5 x 3 x 49 x 31 = 68355

Least Common Multiple of 45,735,465 with GCF Formula

Least Common Multiple of 45,735,465 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 45,735,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,735,465) = 15

common factors(in case of two or more numbers have common factors) = 15

GCF(45,735,465) x common factors =15 x 15 = 225

LCM(45,735,465) = ( 45 × 735 × 465 ) / 225

LCM(45,735,465) = 15379875 / 225

LCM(45,735,465) = 68355


Lets's calculate GCF of 427,59,932

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68355/1

Therefore the LCM of Fractions 45/427,735/59,465/932 is 68355

Greatest Common Factor of 427,59,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,59,932 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 427,59,932 . The biggest common factor number is the GCF number.
So the greatest common factor 427,59,932 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 45/427, 735/59, 465/932

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 45/427, 735/59, 465/932?

Answer: LCM of Numerators as per given numbers 45/427, 735/59, 465/932 is

LCM of Numerators i.e. for 45,735,465 is 68355

GCF of denominators i.e. for 427,59,932 is 1.

Thus, LCM of Fractions is 68355.Finally, LCM of Fractions for 45/427, 735/59, 465/932 is 68355.