Least Common Multiple of 60/502, 401/895, 102/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/502, 401/895, 102/880 quickly i.e. 409020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/502, 401/895, 102/880 is 409020.

LCM(60/502, 401/895, 102/880) = 409020

LCM of 60/502, 401/895, 102/880

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 60/502,401/895,102/880

Given numbers are 60/502,401/895,102/880

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 60,401,102

Least Common Multiple of Numerators i.e. LCM of 60,401,102 is 409020.

GCF of Denominators means GCF of 502,895,880 as per the given fractions.

GCF of 502,895,880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,401,102

LCM of Fractions 60/502,401/895,102/880 is 409020

2 60, 401, 102
3 30, 401, 51
10, 401, 17

∴ So the LCM of the given numbers is 2 x 3 x 10 x 401 x 17 = 409020

Least Common Multiple of 60,401,102 with GCF Formula

Least Common Multiple of 60,401,102 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 60,401,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,401,102) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(60,401,102) x common factors =1 x 6 = 6

LCM(60,401,102) = ( 60 × 401 × 102 ) / 6

LCM(60,401,102) = 2454120 / 6

LCM(60,401,102) = 409020


Lets's calculate GCF of 502,895,880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 409020/1

Therefore the LCM of Fractions 60/502,401/895,102/880 is 409020

Greatest Common Factor of 502,895,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,895,880 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 502,895,880 . The biggest common factor number is the GCF number.
So the greatest common factor 502,895,880 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 60/502, 401/895, 102/880

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 60/502, 401/895, 102/880?

Answer: LCM of Numerators as per given numbers 60/502, 401/895, 102/880 is

LCM of Numerators i.e. for 60,401,102 is 409020

GCF of denominators i.e. for 502,895,880 is 1.

Thus, LCM of Fractions is 409020.Finally, LCM of Fractions for 60/502, 401/895, 102/880 is 409020.