Least Common Multiple of 84/392, 825/917, 812/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/392, 825/917, 812/847 quickly i.e. 95700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/392, 825/917, 812/847 is 95700.

LCM(84/392, 825/917, 812/847) = 95700

LCM of 84/392, 825/917, 812/847

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 84/392,825/917,812/847

Given numbers are 84/392,825/917,812/847

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 84,825,812

Least Common Multiple of Numerators i.e. LCM of 84,825,812 is 669900.

GCF of Denominators means GCF of 392,917,847 as per the given fractions.

GCF of 392,917,847 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,825,812

LCM of Fractions 84/392,825/917,812/847 is 95700

2 84, 825, 812
2 42, 825, 406
3 21, 825, 203
7 7, 275, 203
1, 275, 29

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 275 x 29 = 669900

Least Common Multiple of 84,825,812 with GCF Formula

Least Common Multiple of 84,825,812 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 84,825,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,825,812) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(84,825,812) x common factors =1 x 84 = 84

LCM(84,825,812) = ( 84 × 825 × 812 ) / 84

LCM(84,825,812) = 56271600 / 84

LCM(84,825,812) = 669900


Lets's calculate GCF of 392,917,847

7 392, 917, 847
56, 131, 121

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 669900/7

Therefore the LCM of Fractions 84/392,825/917,812/847 is 95700

Greatest Common Factor of 392,917,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,917,847 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 392,917,847 . The biggest common factor number is the GCF number.
So the greatest common factor 392,917,847 is 7.


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 84/392, 825/917, 812/847

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 84/392, 825/917, 812/847?

Answer: LCM of Numerators as per given numbers 84/392, 825/917, 812/847 is

LCM of Numerators i.e. for 84,825,812 is 669900

GCF of denominators i.e. for 392,917,847 is 7.

Thus, LCM of Fractions is 95700.Finally, LCM of Fractions for 84/392, 825/917, 812/847 is 95700.