Least Common Multiple of 3/628, 67/211, 21/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/628, 67/211, 21/631 quickly i.e. 1407 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/628, 67/211, 21/631 is 1407.

LCM(3/628, 67/211, 21/631) = 1407

LCM of 3/628, 67/211, 21/631

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 3/628,67/211,21/631

Given numbers are 3/628,67/211,21/631

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 3,67,21

Least Common Multiple of Numerators i.e. LCM of 3,67,21 is 1407.

GCF of Denominators means GCF of 628,211,631 as per the given fractions.

GCF of 628,211,631 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,67,21

LCM of Fractions 3/628,67/211,21/631 is 1407

3 3, 67, 21
1, 67, 7

∴ So the LCM of the given numbers is 3 x 1 x 67 x 7 = 1407

Least Common Multiple of 3,67,21 with GCF Formula

Least Common Multiple of 3,67,21 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 3,67,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,67,21) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(3,67,21) x common factors =1 x 3 = 3

LCM(3,67,21) = ( 3 × 67 × 21 ) / 3

LCM(3,67,21) = 4221 / 3

LCM(3,67,21) = 1407


Lets's calculate GCF of 628,211,631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1407/1

Therefore the LCM of Fractions 3/628,67/211,21/631 is 1407

Greatest Common Factor of 628,211,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,211,631 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 628,211,631 . The biggest common factor number is the GCF number.
So the greatest common factor 628,211,631 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 3/628, 67/211, 21/631

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 3/628, 67/211, 21/631?

Answer: LCM of Numerators as per given numbers 3/628, 67/211, 21/631 is

LCM of Numerators i.e. for 3,67,21 is 1407

GCF of denominators i.e. for 628,211,631 is 1.

Thus, LCM of Fractions is 1407.Finally, LCM of Fractions for 3/628, 67/211, 21/631 is 1407.