Least Common Multiple of 896/13, 906/8953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 896/13, 906/8953 quickly i.e. 405888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 896/13, 906/8953 is 405888.

LCM(896/13, 906/8953) = 405888

LCM of 896/13, 906/8953

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 896/13,906/8953

Given numbers are 896/13,906/8953

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 896,906

Least Common Multiple of Numerators i.e. LCM of 896,906 is 405888.

GCF of Denominators means GCF of 13,8953 as per the given fractions.

GCF of 13,8953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 896,906

LCM of Fractions 896/13,906/8953 is 405888

2 896, 906
448, 453

∴ So the LCM of the given numbers is 2 x 448 x 453 = 405888

Least Common Multiple of 896,906 with GCF Formula

Least Common Multiple of 896,906 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 896,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,906) = 2

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

GCF(896,906) x common factors =2 x 1 = 2

LCM(896,906) = ( 896 × 906 ) / 2

LCM(896,906) = 811776 / 2

LCM(896,906) = 405888


Lets's calculate GCF of 13,8953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405888/1

Therefore the LCM of Fractions 896/13,906/8953 is 405888

Greatest Common Factor of 13,8953 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,8953 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 8953

List of positive integer factors of 8953 that divides 8953 without a remainder.

1,7,1279,8953

Greatest Common Factor

We found the factors 13,8953 . The biggest common factor number is the GCF number.
So the greatest common factor 13,8953 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 896/13, 906/8953

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 896/13, 906/8953?

Answer: LCM of Numerators as per given numbers 896/13, 906/8953 is

LCM of Numerators i.e. for 896,906 is 405888

GCF of denominators i.e. for 13,8953 is 1.

Thus, LCM of Fractions is 405888.Finally, LCM of Fractions for 896/13, 906/8953 is 405888.