Least Common Multiple of 70/94, 589/32, 355/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/94, 589/32, 355/486 quickly i.e. 1463665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/94, 589/32, 355/486 is 1463665.

LCM(70/94, 589/32, 355/486) = 1463665

LCM of 70/94, 589/32, 355/486

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 70/94,589/32,355/486

Given numbers are 70/94,589/32,355/486

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 70,589,355

Least Common Multiple of Numerators i.e. LCM of 70,589,355 is 2927330.

GCF of Denominators means GCF of 94,32,486 as per the given fractions.

GCF of 94,32,486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,589,355

LCM of Fractions 70/94,589/32,355/486 is 1463665

5 70, 589, 355
14, 589, 71

∴ So the LCM of the given numbers is 5 x 14 x 589 x 71 = 2927330

Least Common Multiple of 70,589,355 with GCF Formula

Least Common Multiple of 70,589,355 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 70,589,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,589,355) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(70,589,355) x common factors =1 x 5 = 5

LCM(70,589,355) = ( 70 × 589 × 355 ) / 5

LCM(70,589,355) = 14636650 / 5

LCM(70,589,355) = 2927330


Lets's calculate GCF of 94,32,486

2 94, 32, 486
47, 16, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2927330/2

Therefore the LCM of Fractions 70/94,589/32,355/486 is 1463665

Greatest Common Factor of 94,32,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,32,486 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 94,32,486 . The biggest common factor number is the GCF number.
So the greatest common factor 94,32,486 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 70/94, 589/32, 355/486

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 70/94, 589/32, 355/486?

Answer: LCM of Numerators as per given numbers 70/94, 589/32, 355/486 is

LCM of Numerators i.e. for 70,589,355 is 2927330

GCF of denominators i.e. for 94,32,486 is 2.

Thus, LCM of Fractions is 1463665.Finally, LCM of Fractions for 70/94, 589/32, 355/486 is 1463665.