Least Common Multiple of 75/835, 861/519, 465/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/835, 861/519, 465/775 quickly i.e. 667275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/835, 861/519, 465/775 is 667275.

LCM(75/835, 861/519, 465/775) = 667275

LCM of 75/835, 861/519, 465/775

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 75/835,861/519,465/775

Given numbers are 75/835,861/519,465/775

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 75,861,465

Least Common Multiple of Numerators i.e. LCM of 75,861,465 is 667275.

GCF of Denominators means GCF of 835,519,775 as per the given fractions.

GCF of 835,519,775 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,861,465

LCM of Fractions 75/835,861/519,465/775 is 667275

3 75, 861, 465
5 25, 287, 155
5, 287, 31

∴ So the LCM of the given numbers is 3 x 5 x 5 x 287 x 31 = 667275

Least Common Multiple of 75,861,465 with GCF Formula

Least Common Multiple of 75,861,465 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 75,861,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,861,465) = 3

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

GCF(75,861,465) x common factors =3 x 15 = 45

LCM(75,861,465) = ( 75 × 861 × 465 ) / 45

LCM(75,861,465) = 30027375 / 45

LCM(75,861,465) = 667275


Lets's calculate GCF of 835,519,775

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 667275/1

Therefore the LCM of Fractions 75/835,861/519,465/775 is 667275

Greatest Common Factor of 835,519,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,519,775 By Matching Biggest Common Factor Method

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 835,519,775 . The biggest common factor number is the GCF number.
So the greatest common factor 835,519,775 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 75/835, 861/519, 465/775

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 75/835, 861/519, 465/775?

Answer: LCM of Numerators as per given numbers 75/835, 861/519, 465/775 is

LCM of Numerators i.e. for 75,861,465 is 667275

GCF of denominators i.e. for 835,519,775 is 1.

Thus, LCM of Fractions is 667275.Finally, LCM of Fractions for 75/835, 861/519, 465/775 is 667275.