Least Common Multiple of 690/900, 2006/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 690/900, 2006/975 quickly i.e. 692070/75 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/900, 2006/975 is 692070/75.

LCM(690/900, 2006/975) = 692070/75

LCM of 690/900, 2006/975

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 690/900,2006/975

Given numbers are 690/900,2006/975

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 690,2006

Least Common Multiple of Numerators i.e. LCM of 690,2006 is 692070.

GCF of Denominators means GCF of 900,975 as per the given fractions.

GCF of 900,975 is 75 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,2006

LCM of Fractions 690/900,2006/975 is 692070/75

2 690, 2006
345, 1003

∴ So the LCM of the given numbers is 2 x 345 x 1003 = 692070

Least Common Multiple of 690,2006 with GCF Formula

Least Common Multiple of 690,2006 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 690,2006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,2006) = 2

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

GCF(690,2006) x common factors =2 x 1 = 2

LCM(690,2006) = ( 690 × 2006 ) / 2

LCM(690,2006) = 1384140 / 2

LCM(690,2006) = 692070


Lets's calculate GCF of 900,975

3 900, 975
5 300, 325
5 60, 65
12, 13

∴ So the GCF of the given numbers is 3 x 5 x 5 = 75

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 692070/75

Therefore the LCM of Fractions 690/900,2006/975 is 692070/75

Greatest Common Factor of 900,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,975 By Matching Biggest Common Factor Method

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

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 900,975 . The biggest common factor number is the GCF number.
So the greatest common factor 900,975 is 75.


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 690/900, 2006/975

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 690/900, 2006/975?

Answer: LCM of Numerators as per given numbers 690/900, 2006/975 is

LCM of Numerators i.e. for 690,2006 is 692070

GCF of denominators i.e. for 900,975 is 75.

Thus, LCM of Fractions is 692070/75.Finally, LCM of Fractions for 690/900, 2006/975 is 692070/75.