Least Common Multiple of 5/11, 7/28, 97/88, 39/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5/11, 7/28, 97/88, 39/894 quickly i.e. 132405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/11, 7/28, 97/88, 39/894 is 132405.

LCM(5/11, 7/28, 97/88, 39/894) = 132405

LCM of 5/11, 7/28, 97/88, 39/894

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 5/11,7/28,97/88,39/894

Given numbers are 5/11,7/28,97/88,39/894

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 5,7,97,39

Least Common Multiple of Numerators i.e. LCM of 5,7,97,39 is 132405.

GCF of Denominators means GCF of 11,28,88,894 as per the given fractions.

GCF of 11,28,88,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,7,97,39

LCM of Fractions 5/11,7/28,97/88,39/894 is 132405

Given numbers has no common factors except 1. So, there LCM is their product i.e 132405

Least Common Multiple of 5,7,97,39 with GCF Formula

Least Common Multiple of 5,7,97,39 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 5,7,97,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,7,97,39) = 1

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

GCF(5,7,97,39) x common factors =1 x 1 = 1

LCM(5,7,97,39) = ( 5 × 7 × 97 × 39 ) / 1

LCM(5,7,97,39) = 132405 / 1

LCM(5,7,97,39) = 132405


Lets's calculate GCF of 11,28,88,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132405/1

Therefore the LCM of Fractions 5/11,7/28,97/88,39/894 is 132405

Greatest Common Factor of 11,28,88,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,28,88,894 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 11,28,88,894 . The biggest common factor number is the GCF number.
So the greatest common factor 11,28,88,894 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5/11, 7/28, 97/88, 39/894

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 5/11, 7/28, 97/88, 39/894?

Answer: LCM of Numerators as per given numbers 5/11, 7/28, 97/88, 39/894 is

LCM of Numerators i.e. for 5,7,97,39 is 132405

GCF of denominators i.e. for 11,28,88,894 is 1.

Thus, LCM of Fractions is 132405.Finally, LCM of Fractions for 5/11, 7/28, 97/88, 39/894 is 132405.