Least Common Multiple of 99/752, 71/735, 786/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/752, 71/735, 786/182 quickly i.e. 1841598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/752, 71/735, 786/182 is 1841598.

LCM(99/752, 71/735, 786/182) = 1841598

LCM of 99/752, 71/735, 786/182

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 99/752,71/735,786/182

Given numbers are 99/752,71/735,786/182

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 99,71,786

Least Common Multiple of Numerators i.e. LCM of 99,71,786 is 1841598.

GCF of Denominators means GCF of 752,735,182 as per the given fractions.

GCF of 752,735,182 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,71,786

LCM of Fractions 99/752,71/735,786/182 is 1841598

3 99, 71, 786
33, 71, 262

∴ So the LCM of the given numbers is 3 x 33 x 71 x 262 = 1841598

Least Common Multiple of 99,71,786 with GCF Formula

Least Common Multiple of 99,71,786 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 99,71,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,71,786) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,71,786) x common factors =1 x 3 = 3

LCM(99,71,786) = ( 99 × 71 × 786 ) / 3

LCM(99,71,786) = 5524794 / 3

LCM(99,71,786) = 1841598


Lets's calculate GCF of 752,735,182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1841598/1

Therefore the LCM of Fractions 99/752,71/735,786/182 is 1841598

Greatest Common Factor of 752,735,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,735,182 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 752,735,182 . The biggest common factor number is the GCF number.
So the greatest common factor 752,735,182 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 99/752, 71/735, 786/182

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 99/752, 71/735, 786/182?

Answer: LCM of Numerators as per given numbers 99/752, 71/735, 786/182 is

LCM of Numerators i.e. for 99,71,786 is 1841598

GCF of denominators i.e. for 752,735,182 is 1.

Thus, LCM of Fractions is 1841598.Finally, LCM of Fractions for 99/752, 71/735, 786/182 is 1841598.