Least Common Multiple of 401/665, 250/363, 765/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 401/665, 250/363, 765/175 quickly i.e. 15338250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 401/665, 250/363, 765/175 is 15338250.

LCM(401/665, 250/363, 765/175) = 15338250

LCM of 401/665, 250/363, 765/175

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 401/665,250/363,765/175

Given numbers are 401/665,250/363,765/175

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 401,250,765

Least Common Multiple of Numerators i.e. LCM of 401,250,765 is 15338250.

GCF of Denominators means GCF of 665,363,175 as per the given fractions.

GCF of 665,363,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 401,250,765

LCM of Fractions 401/665,250/363,765/175 is 15338250

5 401, 250, 765
401, 50, 153

∴ So the LCM of the given numbers is 5 x 401 x 50 x 153 = 15338250

Least Common Multiple of 401,250,765 with GCF Formula

Least Common Multiple of 401,250,765 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 401,250,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,250,765) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(401,250,765) x common factors =1 x 5 = 5

LCM(401,250,765) = ( 401 × 250 × 765 ) / 5

LCM(401,250,765) = 76691250 / 5

LCM(401,250,765) = 15338250


Lets's calculate GCF of 665,363,175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15338250/1

Therefore the LCM of Fractions 401/665,250/363,765/175 is 15338250

Greatest Common Factor of 665,363,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,363,175 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 665,363,175 . The biggest common factor number is the GCF number.
So the greatest common factor 665,363,175 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 401/665, 250/363, 765/175

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 401/665, 250/363, 765/175?

Answer: LCM of Numerators as per given numbers 401/665, 250/363, 765/175 is

LCM of Numerators i.e. for 401,250,765 is 15338250

GCF of denominators i.e. for 665,363,175 is 1.

Thus, LCM of Fractions is 15338250.Finally, LCM of Fractions for 401/665, 250/363, 765/175 is 15338250.