Least Common Multiple of 252/98, 987/64, 168/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/98, 987/64, 168/10 quickly i.e. 11844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/98, 987/64, 168/10 is 11844.

LCM(252/98, 987/64, 168/10) = 11844

LCM of 252/98, 987/64, 168/10

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 252/98,987/64,168/10

Given numbers are 252/98,987/64,168/10

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 252,987,168

Least Common Multiple of Numerators i.e. LCM of 252,987,168 is 23688.

GCF of Denominators means GCF of 98,64,10 as per the given fractions.

GCF of 98,64,10 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,987,168

LCM of Fractions 252/98,987/64,168/10 is 11844

2 252, 987, 168
2 126, 987, 84
3 63, 987, 42
7 21, 329, 14
3, 47, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 3 x 47 x 2 = 23688

Least Common Multiple of 252,987,168 with GCF Formula

Least Common Multiple of 252,987,168 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 252,987,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,987,168) = 21

common factors(in case of two or more numbers have common factors) = 84

GCF(252,987,168) x common factors =21 x 84 = 1764

LCM(252,987,168) = ( 252 × 987 × 168 ) / 1764

LCM(252,987,168) = 41785632 / 1764

LCM(252,987,168) = 23688


Lets's calculate GCF of 98,64,10

2 98, 64, 10
49, 32, 5

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23688/2

Therefore the LCM of Fractions 252/98,987/64,168/10 is 11844

Greatest Common Factor of 98,64,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,64,10 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 98,64,10 . The biggest common factor number is the GCF number.
So the greatest common factor 98,64,10 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 252/98, 987/64, 168/10

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 252/98, 987/64, 168/10?

Answer: LCM of Numerators as per given numbers 252/98, 987/64, 168/10 is

LCM of Numerators i.e. for 252,987,168 is 23688

GCF of denominators i.e. for 98,64,10 is 2.

Thus, LCM of Fractions is 11844.Finally, LCM of Fractions for 252/98, 987/64, 168/10 is 11844.