Least Common Multiple of 4/684, 25/230, 10/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4/684, 25/230, 10/988 quickly i.e. 50 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/684, 25/230, 10/988 is 50.

LCM(4/684, 25/230, 10/988) = 50

LCM of 4/684, 25/230, 10/988

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 4/684,25/230,10/988

Given numbers are 4/684,25/230,10/988

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 4,25,10

Least Common Multiple of Numerators i.e. LCM of 4,25,10 is 100.

GCF of Denominators means GCF of 684,230,988 as per the given fractions.

GCF of 684,230,988 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,25,10

LCM of Fractions 4/684,25/230,10/988 is 50

2 4, 25, 10
5 2, 25, 5
2, 1, 5

∴ So the LCM of the given numbers is 2 x 5 x 2 x 1 x 5 = 100

Least Common Multiple of 4,25,10 with GCF Formula

Least Common Multiple of 4,25,10 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 4,25,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,25,10) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(4,25,10) x common factors =1 x 10 = 10

LCM(4,25,10) = ( 4 × 25 × 10 ) / 10

LCM(4,25,10) = 1000 / 10

LCM(4,25,10) = 100


Lets's calculate GCF of 684,230,988

2 684, 230, 988
342, 115, 494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100/2

Therefore the LCM of Fractions 4/684,25/230,10/988 is 50

Greatest Common Factor of 684,230,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,230,988 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

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 684,230,988 . The biggest common factor number is the GCF number.
So the greatest common factor 684,230,988 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4/684, 25/230, 10/988

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 4/684, 25/230, 10/988?

Answer: LCM of Numerators as per given numbers 4/684, 25/230, 10/988 is

LCM of Numerators i.e. for 4,25,10 is 100

GCF of denominators i.e. for 684,230,988 is 2.

Thus, LCM of Fractions is 50.Finally, LCM of Fractions for 4/684, 25/230, 10/988 is 50.