Least Common Multiple of 30/292, 4001/6628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/292, 4001/6628 quickly i.e. 120030/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/292, 4001/6628 is 120030/4.

LCM(30/292, 4001/6628) = 120030/4

LCM of 30/292, 4001/6628

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 30/292,4001/6628

Given numbers are 30/292,4001/6628

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 30,4001

Least Common Multiple of Numerators i.e. LCM of 30,4001 is 120030.

GCF of Denominators means GCF of 292,6628 as per the given fractions.

GCF of 292,6628 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,4001

LCM of Fractions 30/292,4001/6628 is 120030/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 120030

Least Common Multiple of 30,4001 with GCF Formula

Least Common Multiple of 30,4001 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 30,4001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,4001) = 1

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

GCF(30,4001) x common factors =1 x 1 = 1

LCM(30,4001) = ( 30 × 4001 ) / 1

LCM(30,4001) = 120030 / 1

LCM(30,4001) = 120030


Lets's calculate GCF of 292,6628

2 292, 6628
2 146, 3314
73, 1657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120030/4

Therefore the LCM of Fractions 30/292,4001/6628 is 120030/4

Greatest Common Factor of 292,6628 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,6628 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 6628

List of positive integer factors of 6628 that divides 6628 without a remainder.

1,2,4,1657,3314,6628

Greatest Common Factor

We found the factors 292,6628 . The biggest common factor number is the GCF number.
So the greatest common factor 292,6628 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 30/292, 4001/6628

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 30/292, 4001/6628?

Answer: LCM of Numerators as per given numbers 30/292, 4001/6628 is

LCM of Numerators i.e. for 30,4001 is 120030

GCF of denominators i.e. for 292,6628 is 4.

Thus, LCM of Fractions is 120030/4.Finally, LCM of Fractions for 30/292, 4001/6628 is 120030/4.