Least Common Multiple of 652/465, 358/547, 295/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 652/465, 358/547, 295/625 quickly i.e. 34428860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 652/465, 358/547, 295/625 is 34428860.

LCM(652/465, 358/547, 295/625) = 34428860

LCM of 652/465, 358/547, 295/625

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 652/465,358/547,295/625

Given numbers are 652/465,358/547,295/625

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 652,358,295

Least Common Multiple of Numerators i.e. LCM of 652,358,295 is 34428860.

GCF of Denominators means GCF of 465,547,625 as per the given fractions.

GCF of 465,547,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 652,358,295

LCM of Fractions 652/465,358/547,295/625 is 34428860

2 652, 358, 295
326, 179, 295

∴ So the LCM of the given numbers is 2 x 326 x 179 x 295 = 34428860

Least Common Multiple of 652,358,295 with GCF Formula

Least Common Multiple of 652,358,295 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 652,358,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,358,295) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(652,358,295) x common factors =1 x 2 = 2

LCM(652,358,295) = ( 652 × 358 × 295 ) / 2

LCM(652,358,295) = 68857720 / 2

LCM(652,358,295) = 34428860


Lets's calculate GCF of 465,547,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34428860/1

Therefore the LCM of Fractions 652/465,358/547,295/625 is 34428860

Greatest Common Factor of 465,547,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,547,625 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 465,547,625 . The biggest common factor number is the GCF number.
So the greatest common factor 465,547,625 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 652/465, 358/547, 295/625

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 652/465, 358/547, 295/625?

Answer: LCM of Numerators as per given numbers 652/465, 358/547, 295/625 is

LCM of Numerators i.e. for 652,358,295 is 34428860

GCF of denominators i.e. for 465,547,625 is 1.

Thus, LCM of Fractions is 34428860.Finally, LCM of Fractions for 652/465, 358/547, 295/625 is 34428860.