Least Common Multiple of 65/89, 872/46, 659/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/89, 872/46, 659/908 quickly i.e. 37352120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/89, 872/46, 659/908 is 37352120.

LCM(65/89, 872/46, 659/908) = 37352120

LCM of 65/89, 872/46, 659/908

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 65/89,872/46,659/908

Given numbers are 65/89,872/46,659/908

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 65,872,659

Least Common Multiple of Numerators i.e. LCM of 65,872,659 is 37352120.

GCF of Denominators means GCF of 89,46,908 as per the given fractions.

GCF of 89,46,908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,872,659

LCM of Fractions 65/89,872/46,659/908 is 37352120

Given numbers has no common factors except 1. So, there LCM is their product i.e 37352120

Least Common Multiple of 65,872,659 with GCF Formula

Least Common Multiple of 65,872,659 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 65,872,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,872,659) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(65,872,659) x common factors =1 x 1 = 1

LCM(65,872,659) = ( 65 × 872 × 659 ) / 1

LCM(65,872,659) = 37352120 / 1

LCM(65,872,659) = 37352120


Lets's calculate GCF of 89,46,908

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37352120/1

Therefore the LCM of Fractions 65/89,872/46,659/908 is 37352120

Greatest Common Factor of 89,46,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,46,908 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 46

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

1,2,23,46

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 89,46,908 . The biggest common factor number is the GCF number.
So the greatest common factor 89,46,908 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/89, 872/46, 659/908

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 65/89, 872/46, 659/908?

Answer: LCM of Numerators as per given numbers 65/89, 872/46, 659/908 is

LCM of Numerators i.e. for 65,872,659 is 37352120

GCF of denominators i.e. for 89,46,908 is 1.

Thus, LCM of Fractions is 37352120.Finally, LCM of Fractions for 65/89, 872/46, 659/908 is 37352120.