Least Common Multiple of 93/111, 903/846, 749/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/111, 903/846, 749/357 quickly i.e. 998417 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/111, 903/846, 749/357 is 998417.

LCM(93/111, 903/846, 749/357) = 998417

LCM of 93/111, 903/846, 749/357

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 93/111,903/846,749/357

Given numbers are 93/111,903/846,749/357

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 93,903,749

Least Common Multiple of Numerators i.e. LCM of 93,903,749 is 2995251.

GCF of Denominators means GCF of 111,846,357 as per the given fractions.

GCF of 111,846,357 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,903,749

LCM of Fractions 93/111,903/846,749/357 is 998417

3 93, 903, 749
7 31, 301, 749
31, 43, 107

∴ So the LCM of the given numbers is 3 x 7 x 31 x 43 x 107 = 2995251

Least Common Multiple of 93,903,749 with GCF Formula

Least Common Multiple of 93,903,749 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 93,903,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,903,749) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(93,903,749) x common factors =1 x 21 = 21

LCM(93,903,749) = ( 93 × 903 × 749 ) / 21

LCM(93,903,749) = 62900271 / 21

LCM(93,903,749) = 2995251


Lets's calculate GCF of 111,846,357

3 111, 846, 357
37, 282, 119

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2995251/3

Therefore the LCM of Fractions 93/111,903/846,749/357 is 998417

Greatest Common Factor of 111,846,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,846,357 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 111,846,357 . The biggest common factor number is the GCF number.
So the greatest common factor 111,846,357 is 3.


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 93/111, 903/846, 749/357

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 93/111, 903/846, 749/357?

Answer: LCM of Numerators as per given numbers 93/111, 903/846, 749/357 is

LCM of Numerators i.e. for 93,903,749 is 2995251

GCF of denominators i.e. for 111,846,357 is 3.

Thus, LCM of Fractions is 998417.Finally, LCM of Fractions for 93/111, 903/846, 749/357 is 998417.