Least Common Multiple of 10/464, 9956/3470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/464, 9956/3470 quickly i.e. 24890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/464, 9956/3470 is 24890.

LCM(10/464, 9956/3470) = 24890

LCM of 10/464, 9956/3470

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 10/464,9956/3470

Given numbers are 10/464,9956/3470

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 10,9956

Least Common Multiple of Numerators i.e. LCM of 10,9956 is 49780.

GCF of Denominators means GCF of 464,3470 as per the given fractions.

GCF of 464,3470 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,9956

LCM of Fractions 10/464,9956/3470 is 24890

2 10, 9956
5, 4978

∴ So the LCM of the given numbers is 2 x 5 x 4978 = 49780

Least Common Multiple of 10,9956 with GCF Formula

Least Common Multiple of 10,9956 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 10,9956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,9956) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(10,9956) x common factors =2 x 1 = 2

LCM(10,9956) = ( 10 × 9956 ) / 2

LCM(10,9956) = 99560 / 2

LCM(10,9956) = 49780


Lets's calculate GCF of 464,3470

2 464, 3470
232, 1735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49780/2

Therefore the LCM of Fractions 10/464,9956/3470 is 24890

Greatest Common Factor of 464,3470 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,3470 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 3470

List of positive integer factors of 3470 that divides 3470 without a remainder.

1,2,5,10,347,694,1735,3470

Greatest Common Factor

We found the factors 464,3470 . The biggest common factor number is the GCF number.
So the greatest common factor 464,3470 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 10/464, 9956/3470

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 10/464, 9956/3470?

Answer: LCM of Numerators as per given numbers 10/464, 9956/3470 is

LCM of Numerators i.e. for 10,9956 is 49780

GCF of denominators i.e. for 464,3470 is 2.

Thus, LCM of Fractions is 24890.Finally, LCM of Fractions for 10/464, 9956/3470 is 24890.