Least Common Multiple of 3961/343, 5642/4253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3961/343, 5642/4253 quickly i.e. 22347962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3961/343, 5642/4253 is 22347962.

LCM(3961/343, 5642/4253) = 22347962

LCM of 3961/343, 5642/4253

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 3961/343,5642/4253

Given numbers are 3961/343,5642/4253

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 3961,5642

Least Common Multiple of Numerators i.e. LCM of 3961,5642 is 22347962.

GCF of Denominators means GCF of 343,4253 as per the given fractions.

GCF of 343,4253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3961,5642

LCM of Fractions 3961/343,5642/4253 is 22347962

Given numbers has no common factors except 1. So, there LCM is their product i.e 22347962

Least Common Multiple of 3961,5642 with GCF Formula

Least Common Multiple of 3961,5642 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 3961,5642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3961,5642) = 1

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

GCF(3961,5642) x common factors =1 x 1 = 1

LCM(3961,5642) = ( 3961 × 5642 ) / 1

LCM(3961,5642) = 22347962 / 1

LCM(3961,5642) = 22347962


Lets's calculate GCF of 343,4253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22347962/1

Therefore the LCM of Fractions 3961/343,5642/4253 is 22347962

Greatest Common Factor of 343,4253 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,4253 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 4253

List of positive integer factors of 4253 that divides 4253 without a remainder.

1,4253

Greatest Common Factor

We found the factors 343,4253 . The biggest common factor number is the GCF number.
So the greatest common factor 343,4253 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 3961/343, 5642/4253

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 3961/343, 5642/4253?

Answer: LCM of Numerators as per given numbers 3961/343, 5642/4253 is

LCM of Numerators i.e. for 3961,5642 is 22347962

GCF of denominators i.e. for 343,4253 is 1.

Thus, LCM of Fractions is 22347962.Finally, LCM of Fractions for 3961/343, 5642/4253 is 22347962.