Least Common Multiple of 996/75, 767/35, 345/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 996/75, 767/35, 345/675 quickly i.e. 17570436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 996/75, 767/35, 345/675 is 17570436.

LCM(996/75, 767/35, 345/675) = 17570436

LCM of 996/75, 767/35, 345/675

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 996/75,767/35,345/675

Given numbers are 996/75,767/35,345/675

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 996,767,345

Least Common Multiple of Numerators i.e. LCM of 996,767,345 is 87852180.

GCF of Denominators means GCF of 75,35,675 as per the given fractions.

GCF of 75,35,675 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 996,767,345

LCM of Fractions 996/75,767/35,345/675 is 17570436

3 996, 767, 345
332, 767, 115

∴ So the LCM of the given numbers is 3 x 332 x 767 x 115 = 87852180

Least Common Multiple of 996,767,345 with GCF Formula

Least Common Multiple of 996,767,345 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 996,767,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,767,345) = 1

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

GCF(996,767,345) x common factors =1 x 3 = 3

LCM(996,767,345) = ( 996 × 767 × 345 ) / 3

LCM(996,767,345) = 263556540 / 3

LCM(996,767,345) = 87852180


Lets's calculate GCF of 75,35,675

5 75, 35, 675
15, 7, 135

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87852180/5

Therefore the LCM of Fractions 996/75,767/35,345/675 is 17570436

Greatest Common Factor of 75,35,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,35,675 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 75,35,675 . The biggest common factor number is the GCF number.
So the greatest common factor 75,35,675 is 5.


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 996/75, 767/35, 345/675

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 996/75, 767/35, 345/675?

Answer: LCM of Numerators as per given numbers 996/75, 767/35, 345/675 is

LCM of Numerators i.e. for 996,767,345 is 87852180

GCF of denominators i.e. for 75,35,675 is 5.

Thus, LCM of Fractions is 17570436.Finally, LCM of Fractions for 996/75, 767/35, 345/675 is 17570436.