Least Common Multiple of 368/706, 2531/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 368/706, 2531/428 quickly i.e. 465704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 368/706, 2531/428 is 465704.

LCM(368/706, 2531/428) = 465704

LCM of 368/706, 2531/428

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 368/706,2531/428

Given numbers are 368/706,2531/428

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 368,2531

Least Common Multiple of Numerators i.e. LCM of 368,2531 is 931408.

GCF of Denominators means GCF of 706,428 as per the given fractions.

GCF of 706,428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 368,2531

LCM of Fractions 368/706,2531/428 is 465704

Given numbers has no common factors except 1. So, there LCM is their product i.e 931408

Least Common Multiple of 368,2531 with GCF Formula

Least Common Multiple of 368,2531 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 368,2531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,2531) = 1

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

GCF(368,2531) x common factors =1 x 1 = 1

LCM(368,2531) = ( 368 × 2531 ) / 1

LCM(368,2531) = 931408 / 1

LCM(368,2531) = 931408


Lets's calculate GCF of 706,428

2 706, 428
353, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 931408/2

Therefore the LCM of Fractions 368/706,2531/428 is 465704

Greatest Common Factor of 706,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,428 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 706,428 . The biggest common factor number is the GCF number.
So the greatest common factor 706,428 is 2.


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 368/706, 2531/428

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 368/706, 2531/428?

Answer: LCM of Numerators as per given numbers 368/706, 2531/428 is

LCM of Numerators i.e. for 368,2531 is 931408

GCF of denominators i.e. for 706,428 is 2.

Thus, LCM of Fractions is 465704.Finally, LCM of Fractions for 368/706, 2531/428 is 465704.