Least Common Multiple of 652/280, 900/634, 375/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 652/280, 900/634, 375/409 quickly i.e. 733500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 652/280, 900/634, 375/409 is 733500.

LCM(652/280, 900/634, 375/409) = 733500

LCM of 652/280, 900/634, 375/409

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 652/280,900/634,375/409

Given numbers are 652/280,900/634,375/409

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 652,900,375

Least Common Multiple of Numerators i.e. LCM of 652,900,375 is 733500.

GCF of Denominators means GCF of 280,634,409 as per the given fractions.

GCF of 280,634,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 652,900,375

LCM of Fractions 652/280,900/634,375/409 is 733500

2 652, 900, 375
2 326, 450, 375
3 163, 225, 375
5 163, 75, 125
5 163, 15, 25
163, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 163 x 3 x 5 = 733500

Least Common Multiple of 652,900,375 with GCF Formula

Least Common Multiple of 652,900,375 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 652,900,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,900,375) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(652,900,375) x common factors =1 x 300 = 300

LCM(652,900,375) = ( 652 × 900 × 375 ) / 300

LCM(652,900,375) = 220050000 / 300

LCM(652,900,375) = 733500


Lets's calculate GCF of 280,634,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 733500/1

Therefore the LCM of Fractions 652/280,900/634,375/409 is 733500

Greatest Common Factor of 280,634,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,634,409 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 280,634,409 . The biggest common factor number is the GCF number.
So the greatest common factor 280,634,409 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 652/280, 900/634, 375/409

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 652/280, 900/634, 375/409?

Answer: LCM of Numerators as per given numbers 652/280, 900/634, 375/409 is

LCM of Numerators i.e. for 652,900,375 is 733500

GCF of denominators i.e. for 280,634,409 is 1.

Thus, LCM of Fractions is 733500.Finally, LCM of Fractions for 652/280, 900/634, 375/409 is 733500.