Least Common Multiple of 952/42, 406/46, 589/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 952/42, 406/46, 589/37 quickly i.e. 16261112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 952/42, 406/46, 589/37 is 16261112.

LCM(952/42, 406/46, 589/37) = 16261112

LCM of 952/42, 406/46, 589/37

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 952/42,406/46,589/37

Given numbers are 952/42,406/46,589/37

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 952,406,589

Least Common Multiple of Numerators i.e. LCM of 952,406,589 is 16261112.

GCF of Denominators means GCF of 42,46,37 as per the given fractions.

GCF of 42,46,37 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 952,406,589

LCM of Fractions 952/42,406/46,589/37 is 16261112

2 952, 406, 589
7 476, 203, 589
68, 29, 589

∴ So the LCM of the given numbers is 2 x 7 x 68 x 29 x 589 = 16261112

Least Common Multiple of 952,406,589 with GCF Formula

Least Common Multiple of 952,406,589 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 952,406,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,406,589) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(952,406,589) x common factors =1 x 14 = 14

LCM(952,406,589) = ( 952 × 406 × 589 ) / 14

LCM(952,406,589) = 227655568 / 14

LCM(952,406,589) = 16261112


Lets's calculate GCF of 42,46,37

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16261112/1

Therefore the LCM of Fractions 952/42,406/46,589/37 is 16261112

Greatest Common Factor of 42,46,37 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,46,37 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Greatest Common Factor

We found the factors 42,46,37 . The biggest common factor number is the GCF number.
So the greatest common factor 42,46,37 is 1.


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 952/42, 406/46, 589/37

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 952/42, 406/46, 589/37?

Answer: LCM of Numerators as per given numbers 952/42, 406/46, 589/37 is

LCM of Numerators i.e. for 952,406,589 is 16261112

GCF of denominators i.e. for 42,46,37 is 1.

Thus, LCM of Fractions is 16261112.Finally, LCM of Fractions for 952/42, 406/46, 589/37 is 16261112.