Least Common Multiple of 562/91, 172/99, 402/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 562/91, 172/99, 402/107 quickly i.e. 9714732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 562/91, 172/99, 402/107 is 9714732.

LCM(562/91, 172/99, 402/107) = 9714732

LCM of 562/91, 172/99, 402/107

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 562/91,172/99,402/107

Given numbers are 562/91,172/99,402/107

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 562,172,402

Least Common Multiple of Numerators i.e. LCM of 562,172,402 is 9714732.

GCF of Denominators means GCF of 91,99,107 as per the given fractions.

GCF of 91,99,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 562,172,402

LCM of Fractions 562/91,172/99,402/107 is 9714732

2 562, 172, 402
281, 86, 201

∴ So the LCM of the given numbers is 2 x 281 x 86 x 201 = 9714732

Least Common Multiple of 562,172,402 with GCF Formula

Least Common Multiple of 562,172,402 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 562,172,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,172,402) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(562,172,402) x common factors =2 x 2 = 4

LCM(562,172,402) = ( 562 × 172 × 402 ) / 4

LCM(562,172,402) = 38858928 / 4

LCM(562,172,402) = 9714732


Lets's calculate GCF of 91,99,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9714732/1

Therefore the LCM of Fractions 562/91,172/99,402/107 is 9714732

Greatest Common Factor of 91,99,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,99,107 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 91,99,107 . The biggest common factor number is the GCF number.
So the greatest common factor 91,99,107 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 562/91, 172/99, 402/107

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 562/91, 172/99, 402/107?

Answer: LCM of Numerators as per given numbers 562/91, 172/99, 402/107 is

LCM of Numerators i.e. for 562,172,402 is 9714732

GCF of denominators i.e. for 91,99,107 is 1.

Thus, LCM of Fractions is 9714732.Finally, LCM of Fractions for 562/91, 172/99, 402/107 is 9714732.