Least Common Multiple of 74/118, 65/300, 945/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/118, 65/300, 945/665 quickly i.e. 909090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/118, 65/300, 945/665 is 909090.

LCM(74/118, 65/300, 945/665) = 909090

LCM of 74/118, 65/300, 945/665

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 74/118,65/300,945/665

Given numbers are 74/118,65/300,945/665

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 74,65,945

Least Common Multiple of Numerators i.e. LCM of 74,65,945 is 909090.

GCF of Denominators means GCF of 118,300,665 as per the given fractions.

GCF of 118,300,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,65,945

LCM of Fractions 74/118,65/300,945/665 is 909090

5 74, 65, 945
74, 13, 189

∴ So the LCM of the given numbers is 5 x 74 x 13 x 189 = 909090

Least Common Multiple of 74,65,945 with GCF Formula

Least Common Multiple of 74,65,945 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 74,65,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,65,945) = 1

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

GCF(74,65,945) x common factors =1 x 5 = 5

LCM(74,65,945) = ( 74 × 65 × 945 ) / 5

LCM(74,65,945) = 4545450 / 5

LCM(74,65,945) = 909090


Lets's calculate GCF of 118,300,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 909090/1

Therefore the LCM of Fractions 74/118,65/300,945/665 is 909090

Greatest Common Factor of 118,300,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,300,665 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 118,300,665 . The biggest common factor number is the GCF number.
So the greatest common factor 118,300,665 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 74/118, 65/300, 945/665

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 74/118, 65/300, 945/665?

Answer: LCM of Numerators as per given numbers 74/118, 65/300, 945/665 is

LCM of Numerators i.e. for 74,65,945 is 909090

GCF of denominators i.e. for 118,300,665 is 1.

Thus, LCM of Fractions is 909090.Finally, LCM of Fractions for 74/118, 65/300, 945/665 is 909090.