Least Common Multiple of 60/310, 36/463, 275/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/310, 36/463, 275/428 quickly i.e. 9900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/310, 36/463, 275/428 is 9900.

LCM(60/310, 36/463, 275/428) = 9900

LCM of 60/310, 36/463, 275/428

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 60/310,36/463,275/428

Given numbers are 60/310,36/463,275/428

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 60,36,275

Least Common Multiple of Numerators i.e. LCM of 60,36,275 is 9900.

GCF of Denominators means GCF of 310,463,428 as per the given fractions.

GCF of 310,463,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,36,275

LCM of Fractions 60/310,36/463,275/428 is 9900

2 60, 36, 275
2 30, 18, 275
3 15, 9, 275
5 5, 3, 275
1, 3, 55

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 3 x 55 = 9900

Least Common Multiple of 60,36,275 with GCF Formula

Least Common Multiple of 60,36,275 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 60,36,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,36,275) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(60,36,275) x common factors =1 x 60 = 60

LCM(60,36,275) = ( 60 × 36 × 275 ) / 60

LCM(60,36,275) = 594000 / 60

LCM(60,36,275) = 9900


Lets's calculate GCF of 310,463,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9900/1

Therefore the LCM of Fractions 60/310,36/463,275/428 is 9900

Greatest Common Factor of 310,463,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,463,428 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 310,463,428 . The biggest common factor number is the GCF number.
So the greatest common factor 310,463,428 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 60/310, 36/463, 275/428

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 60/310, 36/463, 275/428?

Answer: LCM of Numerators as per given numbers 60/310, 36/463, 275/428 is

LCM of Numerators i.e. for 60,36,275 is 9900

GCF of denominators i.e. for 310,463,428 is 1.

Thus, LCM of Fractions is 9900.Finally, LCM of Fractions for 60/310, 36/463, 275/428 is 9900.