Least Common Multiple of 3007/431, 8264/9988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3007/431, 8264/9988 quickly i.e. 24849848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3007/431, 8264/9988 is 24849848.

LCM(3007/431, 8264/9988) = 24849848

LCM of 3007/431, 8264/9988

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 3007/431,8264/9988

Given numbers are 3007/431,8264/9988

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 3007,8264

Least Common Multiple of Numerators i.e. LCM of 3007,8264 is 24849848.

GCF of Denominators means GCF of 431,9988 as per the given fractions.

GCF of 431,9988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3007,8264

LCM of Fractions 3007/431,8264/9988 is 24849848

Given numbers has no common factors except 1. So, there LCM is their product i.e 24849848

Least Common Multiple of 3007,8264 with GCF Formula

Least Common Multiple of 3007,8264 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 3007,8264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3007,8264) = 1

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

GCF(3007,8264) x common factors =1 x 1 = 1

LCM(3007,8264) = ( 3007 × 8264 ) / 1

LCM(3007,8264) = 24849848 / 1

LCM(3007,8264) = 24849848


Lets's calculate GCF of 431,9988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24849848/1

Therefore the LCM of Fractions 3007/431,8264/9988 is 24849848

Greatest Common Factor of 431,9988 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,9988 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 9988

List of positive integer factors of 9988 that divides 9988 without a remainder.

1,2,4,11,22,44,227,454,908,2497,4994,9988

Greatest Common Factor

We found the factors 431,9988 . The biggest common factor number is the GCF number.
So the greatest common factor 431,9988 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3007/431, 8264/9988

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 3007/431, 8264/9988?

Answer: LCM of Numerators as per given numbers 3007/431, 8264/9988 is

LCM of Numerators i.e. for 3007,8264 is 24849848

GCF of denominators i.e. for 431,9988 is 1.

Thus, LCM of Fractions is 24849848.Finally, LCM of Fractions for 3007/431, 8264/9988 is 24849848.