Least Common Multiple of 982/812, 476/315, 663/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/812, 476/315, 663/105 quickly i.e. 1302132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/812, 476/315, 663/105 is 1302132.

LCM(982/812, 476/315, 663/105) = 1302132

LCM of 982/812, 476/315, 663/105

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 982/812,476/315,663/105

Given numbers are 982/812,476/315,663/105

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 982,476,663

Least Common Multiple of Numerators i.e. LCM of 982,476,663 is 9114924.

GCF of Denominators means GCF of 812,315,105 as per the given fractions.

GCF of 812,315,105 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,476,663

LCM of Fractions 982/812,476/315,663/105 is 1302132

2 982, 476, 663
17 491, 238, 663
491, 14, 39

∴ So the LCM of the given numbers is 2 x 17 x 491 x 14 x 39 = 9114924

Least Common Multiple of 982,476,663 with GCF Formula

Least Common Multiple of 982,476,663 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 982,476,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,476,663) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(982,476,663) x common factors =1 x 34 = 34

LCM(982,476,663) = ( 982 × 476 × 663 ) / 34

LCM(982,476,663) = 309907416 / 34

LCM(982,476,663) = 9114924


Lets's calculate GCF of 812,315,105

7 812, 315, 105
116, 45, 15

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9114924/7

Therefore the LCM of Fractions 982/812,476/315,663/105 is 1302132

Greatest Common Factor of 812,315,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,315,105 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 812,315,105 . The biggest common factor number is the GCF number.
So the greatest common factor 812,315,105 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 982/812, 476/315, 663/105

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 982/812, 476/315, 663/105?

Answer: LCM of Numerators as per given numbers 982/812, 476/315, 663/105 is

LCM of Numerators i.e. for 982,476,663 is 9114924

GCF of denominators i.e. for 812,315,105 is 7.

Thus, LCM of Fractions is 1302132.Finally, LCM of Fractions for 982/812, 476/315, 663/105 is 1302132.