Least Common Multiple of 420/41, 767/7014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/41, 767/7014 quickly i.e. 322140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/41, 767/7014 is 322140.

LCM(420/41, 767/7014) = 322140

LCM of 420/41, 767/7014

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 420/41,767/7014

Given numbers are 420/41,767/7014

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 420,767

Least Common Multiple of Numerators i.e. LCM of 420,767 is 322140.

GCF of Denominators means GCF of 41,7014 as per the given fractions.

GCF of 41,7014 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,767

LCM of Fractions 420/41,767/7014 is 322140

Given numbers has no common factors except 1. So, there LCM is their product i.e 322140

Least Common Multiple of 420,767 with GCF Formula

Least Common Multiple of 420,767 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 420,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,767) = 1

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

GCF(420,767) x common factors =1 x 1 = 1

LCM(420,767) = ( 420 × 767 ) / 1

LCM(420,767) = 322140 / 1

LCM(420,767) = 322140


Lets's calculate GCF of 41,7014

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322140/1

Therefore the LCM of Fractions 420/41,767/7014 is 322140

Greatest Common Factor of 41,7014 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,7014 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 7014

List of positive integer factors of 7014 that divides 7014 without a remainder.

1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014

Greatest Common Factor

We found the factors 41,7014 . The biggest common factor number is the GCF number.
So the greatest common factor 41,7014 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 420/41, 767/7014

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 420/41, 767/7014?

Answer: LCM of Numerators as per given numbers 420/41, 767/7014 is

LCM of Numerators i.e. for 420,767 is 322140

GCF of denominators i.e. for 41,7014 is 1.

Thus, LCM of Fractions is 322140.Finally, LCM of Fractions for 420/41, 767/7014 is 322140.