Least Common Multiple of 987/438, 1783/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 987/438, 1783/988 quickly i.e. 1759821/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 987/438, 1783/988 is 1759821/2.

LCM(987/438, 1783/988) = 1759821/2

LCM of 987/438, 1783/988

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 987/438,1783/988

Given numbers are 987/438,1783/988

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 987,1783

Least Common Multiple of Numerators i.e. LCM of 987,1783 is 1759821.

GCF of Denominators means GCF of 438,988 as per the given fractions.

GCF of 438,988 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 987,1783

LCM of Fractions 987/438,1783/988 is 1759821/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1759821

Least Common Multiple of 987,1783 with GCF Formula

Least Common Multiple of 987,1783 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 987,1783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,1783) = 1

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

GCF(987,1783) x common factors =1 x 1 = 1

LCM(987,1783) = ( 987 × 1783 ) / 1

LCM(987,1783) = 1759821 / 1

LCM(987,1783) = 1759821


Lets's calculate GCF of 438,988

2 438, 988
219, 494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1759821/2

Therefore the LCM of Fractions 987/438,1783/988 is 1759821/2

Greatest Common Factor of 438,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,988 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 438,988 . The biggest common factor number is the GCF number.
So the greatest common factor 438,988 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 987/438, 1783/988

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 987/438, 1783/988?

Answer: LCM of Numerators as per given numbers 987/438, 1783/988 is

LCM of Numerators i.e. for 987,1783 is 1759821

GCF of denominators i.e. for 438,988 is 2.

Thus, LCM of Fractions is 1759821/2.Finally, LCM of Fractions for 987/438, 1783/988 is 1759821/2.