Least Common Multiple of 5008/46, 9850/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5008/46, 9850/891 quickly i.e. 24664400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5008/46, 9850/891 is 24664400.

LCM(5008/46, 9850/891) = 24664400

LCM of 5008/46, 9850/891

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 5008/46,9850/891

Given numbers are 5008/46,9850/891

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 5008,9850

Least Common Multiple of Numerators i.e. LCM of 5008,9850 is 24664400.

GCF of Denominators means GCF of 46,891 as per the given fractions.

GCF of 46,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5008,9850

LCM of Fractions 5008/46,9850/891 is 24664400

2 5008, 9850
2504, 4925

∴ So the LCM of the given numbers is 2 x 2504 x 4925 = 24664400

Least Common Multiple of 5008,9850 with GCF Formula

Least Common Multiple of 5008,9850 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 5008,9850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5008,9850) = 2

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

GCF(5008,9850) x common factors =2 x 1 = 2

LCM(5008,9850) = ( 5008 × 9850 ) / 2

LCM(5008,9850) = 49328800 / 2

LCM(5008,9850) = 24664400


Lets's calculate GCF of 46,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24664400/1

Therefore the LCM of Fractions 5008/46,9850/891 is 24664400

Greatest Common Factor of 46,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,891 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 46,891 . The biggest common factor number is the GCF number.
So the greatest common factor 46,891 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5008/46, 9850/891

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 5008/46, 9850/891?

Answer: LCM of Numerators as per given numbers 5008/46, 9850/891 is

LCM of Numerators i.e. for 5008,9850 is 24664400

GCF of denominators i.e. for 46,891 is 1.

Thus, LCM of Fractions is 24664400.Finally, LCM of Fractions for 5008/46, 9850/891 is 24664400.