Least Common Multiple of 7/14, 88/60, 213/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/14, 88/60, 213/40 quickly i.e. 65604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/14, 88/60, 213/40 is 65604.

LCM(7/14, 88/60, 213/40) = 65604

LCM of 7/14, 88/60, 213/40

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 7/14,88/60,213/40

Given numbers are 7/14,88/60,213/40

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 7,88,213

Least Common Multiple of Numerators i.e. LCM of 7,88,213 is 131208.

GCF of Denominators means GCF of 14,60,40 as per the given fractions.

GCF of 14,60,40 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,88,213

LCM of Fractions 7/14,88/60,213/40 is 65604

Given numbers has no common factors except 1. So, there LCM is their product i.e 131208

Least Common Multiple of 7,88,213 with GCF Formula

Least Common Multiple of 7,88,213 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 7,88,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,88,213) = 1

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

GCF(7,88,213) x common factors =1 x 1 = 1

LCM(7,88,213) = ( 7 × 88 × 213 ) / 1

LCM(7,88,213) = 131208 / 1

LCM(7,88,213) = 131208


Lets's calculate GCF of 14,60,40

2 14, 60, 40
7, 30, 20

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131208/2

Therefore the LCM of Fractions 7/14,88/60,213/40 is 65604

Greatest Common Factor of 14,60,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,60,40 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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 14,60,40 . The biggest common factor number is the GCF number.
So the greatest common factor 14,60,40 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 7/14, 88/60, 213/40

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 7/14, 88/60, 213/40?

Answer: LCM of Numerators as per given numbers 7/14, 88/60, 213/40 is

LCM of Numerators i.e. for 7,88,213 is 131208

GCF of denominators i.e. for 14,60,40 is 2.

Thus, LCM of Fractions is 65604.Finally, LCM of Fractions for 7/14, 88/60, 213/40 is 65604.