Least Common Multiple of 105/82, 700/52, 963/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/82, 700/52, 963/406 quickly i.e. 337050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/82, 700/52, 963/406 is 337050.

LCM(105/82, 700/52, 963/406) = 337050

LCM of 105/82, 700/52, 963/406

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 105/82,700/52,963/406

Given numbers are 105/82,700/52,963/406

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 105,700,963

Least Common Multiple of Numerators i.e. LCM of 105,700,963 is 674100.

GCF of Denominators means GCF of 82,52,406 as per the given fractions.

GCF of 82,52,406 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,700,963

LCM of Fractions 105/82,700/52,963/406 is 337050

3 105, 700, 963
5 35, 700, 321
7 7, 140, 321
1, 20, 321

∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 20 x 321 = 674100

Least Common Multiple of 105,700,963 with GCF Formula

Least Common Multiple of 105,700,963 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 105,700,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,700,963) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(105,700,963) x common factors =1 x 105 = 105

LCM(105,700,963) = ( 105 × 700 × 963 ) / 105

LCM(105,700,963) = 70780500 / 105

LCM(105,700,963) = 674100


Lets's calculate GCF of 82,52,406

2 82, 52, 406
41, 26, 203

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674100/2

Therefore the LCM of Fractions 105/82,700/52,963/406 is 337050

Greatest Common Factor of 82,52,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,52,406 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 82,52,406 . The biggest common factor number is the GCF number.
So the greatest common factor 82,52,406 is 2.


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 105/82, 700/52, 963/406

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 105/82, 700/52, 963/406?

Answer: LCM of Numerators as per given numbers 105/82, 700/52, 963/406 is

LCM of Numerators i.e. for 105,700,963 is 674100

GCF of denominators i.e. for 82,52,406 is 2.

Thus, LCM of Fractions is 337050.Finally, LCM of Fractions for 105/82, 700/52, 963/406 is 337050.