Least Common Multiple of 682/95, 246/99, 792/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/95, 246/99, 792/975 quickly i.e. 1006632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/95, 246/99, 792/975 is 1006632.

LCM(682/95, 246/99, 792/975) = 1006632

LCM of 682/95, 246/99, 792/975

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 682/95,246/99,792/975

Given numbers are 682/95,246/99,792/975

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 682,246,792

Least Common Multiple of Numerators i.e. LCM of 682,246,792 is 1006632.

GCF of Denominators means GCF of 95,99,975 as per the given fractions.

GCF of 95,99,975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,246,792

LCM of Fractions 682/95,246/99,792/975 is 1006632

2 682, 246, 792
3 341, 123, 396
11 341, 41, 132
31, 41, 12

∴ So the LCM of the given numbers is 2 x 3 x 11 x 31 x 41 x 12 = 1006632

Least Common Multiple of 682,246,792 with GCF Formula

Least Common Multiple of 682,246,792 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 682,246,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,246,792) = 2

common factors(in case of two or more numbers have common factors) = 66

GCF(682,246,792) x common factors =2 x 66 = 132

LCM(682,246,792) = ( 682 × 246 × 792 ) / 132

LCM(682,246,792) = 132875424 / 132

LCM(682,246,792) = 1006632


Lets's calculate GCF of 95,99,975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1006632/1

Therefore the LCM of Fractions 682/95,246/99,792/975 is 1006632

Greatest Common Factor of 95,99,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,99,975 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 99

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

1,3,9,11,33,99

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 95,99,975 . The biggest common factor number is the GCF number.
So the greatest common factor 95,99,975 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 682/95, 246/99, 792/975

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 682/95, 246/99, 792/975?

Answer: LCM of Numerators as per given numbers 682/95, 246/99, 792/975 is

LCM of Numerators i.e. for 682,246,792 is 1006632

GCF of denominators i.e. for 95,99,975 is 1.

Thus, LCM of Fractions is 1006632.Finally, LCM of Fractions for 682/95, 246/99, 792/975 is 1006632.