Least Common Multiple of 89/51, 962/60, 296/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/51, 962/60, 296/405 quickly i.e. 342472/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/51, 962/60, 296/405 is 342472/3.

LCM(89/51, 962/60, 296/405) = 342472/3

LCM of 89/51, 962/60, 296/405

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 89/51,962/60,296/405

Given numbers are 89/51,962/60,296/405

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 89,962,296

Least Common Multiple of Numerators i.e. LCM of 89,962,296 is 342472.

GCF of Denominators means GCF of 51,60,405 as per the given fractions.

GCF of 51,60,405 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,962,296

LCM of Fractions 89/51,962/60,296/405 is 342472/3

2 89, 962, 296
37 89, 481, 148
89, 13, 4

∴ So the LCM of the given numbers is 2 x 37 x 89 x 13 x 4 = 342472

Least Common Multiple of 89,962,296 with GCF Formula

Least Common Multiple of 89,962,296 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 89,962,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,962,296) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(89,962,296) x common factors =1 x 74 = 74

LCM(89,962,296) = ( 89 × 962 × 296 ) / 74

LCM(89,962,296) = 25342928 / 74

LCM(89,962,296) = 342472


Lets's calculate GCF of 51,60,405

3 51, 60, 405
17, 20, 135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 342472/3

Therefore the LCM of Fractions 89/51,962/60,296/405 is 342472/3

Greatest Common Factor of 51,60,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,60,405 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 51,60,405 . The biggest common factor number is the GCF number.
So the greatest common factor 51,60,405 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 89/51, 962/60, 296/405

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 89/51, 962/60, 296/405?

Answer: LCM of Numerators as per given numbers 89/51, 962/60, 296/405 is

LCM of Numerators i.e. for 89,962,296 is 342472

GCF of denominators i.e. for 51,60,405 is 3.

Thus, LCM of Fractions is 342472/3.Finally, LCM of Fractions for 89/51, 962/60, 296/405 is 342472/3.