Least Common Multiple of 607/14, 407/90, 188/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 607/14, 407/90, 188/900 quickly i.e. 23222606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 607/14, 407/90, 188/900 is 23222606.

LCM(607/14, 407/90, 188/900) = 23222606

LCM of 607/14, 407/90, 188/900

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 607/14,407/90,188/900

Given numbers are 607/14,407/90,188/900

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 607,407,188

Least Common Multiple of Numerators i.e. LCM of 607,407,188 is 46445212.

GCF of Denominators means GCF of 14,90,900 as per the given fractions.

GCF of 14,90,900 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 607,407,188

LCM of Fractions 607/14,407/90,188/900 is 23222606

Given numbers has no common factors except 1. So, there LCM is their product i.e 46445212

Least Common Multiple of 607,407,188 with GCF Formula

Least Common Multiple of 607,407,188 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 607,407,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,407,188) = 1

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

GCF(607,407,188) x common factors =1 x 1 = 1

LCM(607,407,188) = ( 607 × 407 × 188 ) / 1

LCM(607,407,188) = 46445212 / 1

LCM(607,407,188) = 46445212


Lets's calculate GCF of 14,90,900

2 14, 90, 900
7, 45, 450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46445212/2

Therefore the LCM of Fractions 607/14,407/90,188/900 is 23222606

Greatest Common Factor of 14,90,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,90,900 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 14,90,900 . The biggest common factor number is the GCF number.
So the greatest common factor 14,90,900 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 607/14, 407/90, 188/900

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 607/14, 407/90, 188/900?

Answer: LCM of Numerators as per given numbers 607/14, 407/90, 188/900 is

LCM of Numerators i.e. for 607,407,188 is 46445212

GCF of denominators i.e. for 14,90,900 is 2.

Thus, LCM of Fractions is 23222606.Finally, LCM of Fractions for 607/14, 407/90, 188/900 is 23222606.