Least Common Multiple of 688/28, 310/31, 401/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/28, 310/31, 401/810 quickly i.e. 42762640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/28, 310/31, 401/810 is 42762640.

LCM(688/28, 310/31, 401/810) = 42762640

LCM of 688/28, 310/31, 401/810

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 688/28,310/31,401/810

Given numbers are 688/28,310/31,401/810

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 688,310,401

Least Common Multiple of Numerators i.e. LCM of 688,310,401 is 42762640.

GCF of Denominators means GCF of 28,31,810 as per the given fractions.

GCF of 28,31,810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,310,401

LCM of Fractions 688/28,310/31,401/810 is 42762640

2 688, 310, 401
344, 155, 401

∴ So the LCM of the given numbers is 2 x 344 x 155 x 401 = 42762640

Least Common Multiple of 688,310,401 with GCF Formula

Least Common Multiple of 688,310,401 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 688,310,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,310,401) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(688,310,401) x common factors =1 x 2 = 2

LCM(688,310,401) = ( 688 × 310 × 401 ) / 2

LCM(688,310,401) = 85525280 / 2

LCM(688,310,401) = 42762640


Lets's calculate GCF of 28,31,810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42762640/1

Therefore the LCM of Fractions 688/28,310/31,401/810 is 42762640

Greatest Common Factor of 28,31,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,31,810 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 28,31,810 . The biggest common factor number is the GCF number.
So the greatest common factor 28,31,810 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 688/28, 310/31, 401/810

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 688/28, 310/31, 401/810?

Answer: LCM of Numerators as per given numbers 688/28, 310/31, 401/810 is

LCM of Numerators i.e. for 688,310,401 is 42762640

GCF of denominators i.e. for 28,31,810 is 1.

Thus, LCM of Fractions is 42762640.Finally, LCM of Fractions for 688/28, 310/31, 401/810 is 42762640.