Least Common Multiple of 90/405, 51/599, 196/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/405, 51/599, 196/930 quickly i.e. 149940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/405, 51/599, 196/930 is 149940.

LCM(90/405, 51/599, 196/930) = 149940

LCM of 90/405, 51/599, 196/930

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 90/405,51/599,196/930

Given numbers are 90/405,51/599,196/930

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 90,51,196

Least Common Multiple of Numerators i.e. LCM of 90,51,196 is 149940.

GCF of Denominators means GCF of 405,599,930 as per the given fractions.

GCF of 405,599,930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,51,196

LCM of Fractions 90/405,51/599,196/930 is 149940

2 90, 51, 196
3 45, 51, 98
15, 17, 98

∴ So the LCM of the given numbers is 2 x 3 x 15 x 17 x 98 = 149940

Least Common Multiple of 90,51,196 with GCF Formula

Least Common Multiple of 90,51,196 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 90,51,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,51,196) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(90,51,196) x common factors =1 x 6 = 6

LCM(90,51,196) = ( 90 × 51 × 196 ) / 6

LCM(90,51,196) = 899640 / 6

LCM(90,51,196) = 149940


Lets's calculate GCF of 405,599,930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149940/1

Therefore the LCM of Fractions 90/405,51/599,196/930 is 149940

Greatest Common Factor of 405,599,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,599,930 By Matching Biggest Common Factor Method

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

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 405,599,930 . The biggest common factor number is the GCF number.
So the greatest common factor 405,599,930 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 90/405, 51/599, 196/930

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 90/405, 51/599, 196/930?

Answer: LCM of Numerators as per given numbers 90/405, 51/599, 196/930 is

LCM of Numerators i.e. for 90,51,196 is 149940

GCF of denominators i.e. for 405,599,930 is 1.

Thus, LCM of Fractions is 149940.Finally, LCM of Fractions for 90/405, 51/599, 196/930 is 149940.