Least Common Multiple of 465/868, 5737/7024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/868, 5737/7024 quickly i.e. 2667705/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/868, 5737/7024 is 2667705/4.

LCM(465/868, 5737/7024) = 2667705/4

LCM of 465/868, 5737/7024

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 465/868,5737/7024

Given numbers are 465/868,5737/7024

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 465,5737

Least Common Multiple of Numerators i.e. LCM of 465,5737 is 2667705.

GCF of Denominators means GCF of 868,7024 as per the given fractions.

GCF of 868,7024 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,5737

LCM of Fractions 465/868,5737/7024 is 2667705/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 2667705

Least Common Multiple of 465,5737 with GCF Formula

Least Common Multiple of 465,5737 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 465,5737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,5737) = 1

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

GCF(465,5737) x common factors =1 x 1 = 1

LCM(465,5737) = ( 465 × 5737 ) / 1

LCM(465,5737) = 2667705 / 1

LCM(465,5737) = 2667705


Lets's calculate GCF of 868,7024

2 868, 7024
2 434, 3512
217, 1756

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2667705/4

Therefore the LCM of Fractions 465/868,5737/7024 is 2667705/4

Greatest Common Factor of 868,7024 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,7024 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 7024

List of positive integer factors of 7024 that divides 7024 without a remainder.

1,2,4,8,16,439,878,1756,3512,7024

Greatest Common Factor

We found the factors 868,7024 . The biggest common factor number is the GCF number.
So the greatest common factor 868,7024 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 465/868, 5737/7024

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 465/868, 5737/7024?

Answer: LCM of Numerators as per given numbers 465/868, 5737/7024 is

LCM of Numerators i.e. for 465,5737 is 2667705

GCF of denominators i.e. for 868,7024 is 4.

Thus, LCM of Fractions is 2667705/4.Finally, LCM of Fractions for 465/868, 5737/7024 is 2667705/4.