Least Common Multiple of 94/52, 87/16, 417/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/52, 87/16, 417/992 quickly i.e. 1136742/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/52, 87/16, 417/992 is 1136742/4.

LCM(94/52, 87/16, 417/992) = 1136742/4

LCM of 94/52, 87/16, 417/992

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 94/52,87/16,417/992

Given numbers are 94/52,87/16,417/992

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 94,87,417

Least Common Multiple of Numerators i.e. LCM of 94,87,417 is 1136742.

GCF of Denominators means GCF of 52,16,992 as per the given fractions.

GCF of 52,16,992 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,87,417

LCM of Fractions 94/52,87/16,417/992 is 1136742/4

3 94, 87, 417
94, 29, 139

∴ So the LCM of the given numbers is 3 x 94 x 29 x 139 = 1136742

Least Common Multiple of 94,87,417 with GCF Formula

Least Common Multiple of 94,87,417 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 94,87,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,87,417) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(94,87,417) x common factors =1 x 3 = 3

LCM(94,87,417) = ( 94 × 87 × 417 ) / 3

LCM(94,87,417) = 3410226 / 3

LCM(94,87,417) = 1136742


Lets's calculate GCF of 52,16,992

2 52, 16, 992
2 26, 8, 496
13, 4, 248

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1136742/4

Therefore the LCM of Fractions 94/52,87/16,417/992 is 1136742/4

Greatest Common Factor of 52,16,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,16,992 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 52,16,992 . The biggest common factor number is the GCF number.
So the greatest common factor 52,16,992 is 4.


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 94/52, 87/16, 417/992

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 94/52, 87/16, 417/992?

Answer: LCM of Numerators as per given numbers 94/52, 87/16, 417/992 is

LCM of Numerators i.e. for 94,87,417 is 1136742

GCF of denominators i.e. for 52,16,992 is 4.

Thus, LCM of Fractions is 1136742/4.Finally, LCM of Fractions for 94/52, 87/16, 417/992 is 1136742/4.