Least Common Multiple of 237/14, 278/3568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 237/14, 278/3568 quickly i.e. 32943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 237/14, 278/3568 is 32943.

LCM(237/14, 278/3568) = 32943

LCM of 237/14, 278/3568

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 237/14,278/3568

Given numbers are 237/14,278/3568

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 237,278

Least Common Multiple of Numerators i.e. LCM of 237,278 is 65886.

GCF of Denominators means GCF of 14,3568 as per the given fractions.

GCF of 14,3568 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 237,278

LCM of Fractions 237/14,278/3568 is 32943

Given numbers has no common factors except 1. So, there LCM is their product i.e 65886

Least Common Multiple of 237,278 with GCF Formula

Least Common Multiple of 237,278 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 237,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,278) = 1

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

GCF(237,278) x common factors =1 x 1 = 1

LCM(237,278) = ( 237 × 278 ) / 1

LCM(237,278) = 65886 / 1

LCM(237,278) = 65886


Lets's calculate GCF of 14,3568

2 14, 3568
7, 1784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65886/2

Therefore the LCM of Fractions 237/14,278/3568 is 32943

Greatest Common Factor of 14,3568 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,3568 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 3568

List of positive integer factors of 3568 that divides 3568 without a remainder.

1,2,4,8,16,223,446,892,1784,3568

Greatest Common Factor

We found the factors 14,3568 . The biggest common factor number is the GCF number.
So the greatest common factor 14,3568 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 237/14, 278/3568

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 237/14, 278/3568?

Answer: LCM of Numerators as per given numbers 237/14, 278/3568 is

LCM of Numerators i.e. for 237,278 is 65886

GCF of denominators i.e. for 14,3568 is 2.

Thus, LCM of Fractions is 32943.Finally, LCM of Fractions for 237/14, 278/3568 is 32943.