Least Common Multiple of 3714/237, 5729/6469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3714/237, 5729/6469 quickly i.e. 21277506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3714/237, 5729/6469 is 21277506.

LCM(3714/237, 5729/6469) = 21277506

LCM of 3714/237, 5729/6469

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 3714/237,5729/6469

Given numbers are 3714/237,5729/6469

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 3714,5729

Least Common Multiple of Numerators i.e. LCM of 3714,5729 is 21277506.

GCF of Denominators means GCF of 237,6469 as per the given fractions.

GCF of 237,6469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3714,5729

LCM of Fractions 3714/237,5729/6469 is 21277506

Given numbers has no common factors except 1. So, there LCM is their product i.e 21277506

Least Common Multiple of 3714,5729 with GCF Formula

Least Common Multiple of 3714,5729 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 3714,5729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3714,5729) = 1

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

GCF(3714,5729) x common factors =1 x 1 = 1

LCM(3714,5729) = ( 3714 × 5729 ) / 1

LCM(3714,5729) = 21277506 / 1

LCM(3714,5729) = 21277506


Lets's calculate GCF of 237,6469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21277506/1

Therefore the LCM of Fractions 3714/237,5729/6469 is 21277506

Greatest Common Factor of 237,6469 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,6469 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 6469

List of positive integer factors of 6469 that divides 6469 without a remainder.

1,6469

Greatest Common Factor

We found the factors 237,6469 . The biggest common factor number is the GCF number.
So the greatest common factor 237,6469 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 3714/237, 5729/6469

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 3714/237, 5729/6469?

Answer: LCM of Numerators as per given numbers 3714/237, 5729/6469 is

LCM of Numerators i.e. for 3714,5729 is 21277506

GCF of denominators i.e. for 237,6469 is 1.

Thus, LCM of Fractions is 21277506.Finally, LCM of Fractions for 3714/237, 5729/6469 is 21277506.