Least Common Multiple of 628/420, 877/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 628/420, 877/688 quickly i.e. 137689 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 628/420, 877/688 is 137689.

LCM(628/420, 877/688) = 137689

LCM of 628/420, 877/688

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 628/420,877/688

Given numbers are 628/420,877/688

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 628,877

Least Common Multiple of Numerators i.e. LCM of 628,877 is 550756.

GCF of Denominators means GCF of 420,688 as per the given fractions.

GCF of 420,688 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 628,877

LCM of Fractions 628/420,877/688 is 137689

Given numbers has no common factors except 1. So, there LCM is their product i.e 550756

Least Common Multiple of 628,877 with GCF Formula

Least Common Multiple of 628,877 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 628,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,877) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(628,877) x common factors =1 x 1 = 1

LCM(628,877) = ( 628 × 877 ) / 1

LCM(628,877) = 550756 / 1

LCM(628,877) = 550756


Lets's calculate GCF of 420,688

2 420, 688
2 210, 344
105, 172

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 550756/4

Therefore the LCM of Fractions 628/420,877/688 is 137689

Greatest Common Factor of 420,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,688 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 420,688 . The biggest common factor number is the GCF number.
So the greatest common factor 420,688 is 4.


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 628/420, 877/688

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 628/420, 877/688?

Answer: LCM of Numerators as per given numbers 628/420, 877/688 is

LCM of Numerators i.e. for 628,877 is 550756

GCF of denominators i.e. for 420,688 is 4.

Thus, LCM of Fractions is 137689.Finally, LCM of Fractions for 628/420, 877/688 is 137689.