Least Common Multiple of 6200/33, 6847/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6200/33, 6847/987 quickly i.e. 42451400/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6200/33, 6847/987 is 42451400/3.

LCM(6200/33, 6847/987) = 42451400/3

LCM of 6200/33, 6847/987

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 6200/33,6847/987

Given numbers are 6200/33,6847/987

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 6200,6847

Least Common Multiple of Numerators i.e. LCM of 6200,6847 is 42451400.

GCF of Denominators means GCF of 33,987 as per the given fractions.

GCF of 33,987 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6200,6847

LCM of Fractions 6200/33,6847/987 is 42451400/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 42451400

Least Common Multiple of 6200,6847 with GCF Formula

Least Common Multiple of 6200,6847 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 6200,6847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6200,6847) = 1

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

GCF(6200,6847) x common factors =1 x 1 = 1

LCM(6200,6847) = ( 6200 × 6847 ) / 1

LCM(6200,6847) = 42451400 / 1

LCM(6200,6847) = 42451400


Lets's calculate GCF of 33,987

3 33, 987
11, 329

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42451400/3

Therefore the LCM of Fractions 6200/33,6847/987 is 42451400/3

Greatest Common Factor of 33,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,987 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 33,987 . The biggest common factor number is the GCF number.
So the greatest common factor 33,987 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6200/33, 6847/987

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 6200/33, 6847/987?

Answer: LCM of Numerators as per given numbers 6200/33, 6847/987 is

LCM of Numerators i.e. for 6200,6847 is 42451400

GCF of denominators i.e. for 33,987 is 3.

Thus, LCM of Fractions is 42451400/3.Finally, LCM of Fractions for 6200/33, 6847/987 is 42451400/3.