Least Common Multiple of 89/942, 362/516, 590/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/942, 362/516, 590/465 quickly i.e. 9504310/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/942, 362/516, 590/465 is 9504310/3.

LCM(89/942, 362/516, 590/465) = 9504310/3

LCM of 89/942, 362/516, 590/465

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 89/942,362/516,590/465

Given numbers are 89/942,362/516,590/465

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 89,362,590

Least Common Multiple of Numerators i.e. LCM of 89,362,590 is 9504310.

GCF of Denominators means GCF of 942,516,465 as per the given fractions.

GCF of 942,516,465 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,362,590

LCM of Fractions 89/942,362/516,590/465 is 9504310/3

2 89, 362, 590
89, 181, 295

∴ So the LCM of the given numbers is 2 x 89 x 181 x 295 = 9504310

Least Common Multiple of 89,362,590 with GCF Formula

Least Common Multiple of 89,362,590 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 89,362,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,362,590) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(89,362,590) x common factors =1 x 2 = 2

LCM(89,362,590) = ( 89 × 362 × 590 ) / 2

LCM(89,362,590) = 19008620 / 2

LCM(89,362,590) = 9504310


Lets's calculate GCF of 942,516,465

3 942, 516, 465
314, 172, 155

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9504310/3

Therefore the LCM of Fractions 89/942,362/516,590/465 is 9504310/3

Greatest Common Factor of 942,516,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,516,465 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 942,516,465 . The biggest common factor number is the GCF number.
So the greatest common factor 942,516,465 is 3.


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 89/942, 362/516, 590/465

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 89/942, 362/516, 590/465?

Answer: LCM of Numerators as per given numbers 89/942, 362/516, 590/465 is

LCM of Numerators i.e. for 89,362,590 is 9504310

GCF of denominators i.e. for 942,516,465 is 3.

Thus, LCM of Fractions is 9504310/3.Finally, LCM of Fractions for 89/942, 362/516, 590/465 is 9504310/3.