Least Common Multiple of 3145/853, 7154/9900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3145/853, 7154/9900 quickly i.e. 22499330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3145/853, 7154/9900 is 22499330.

LCM(3145/853, 7154/9900) = 22499330

LCM of 3145/853, 7154/9900

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 3145/853,7154/9900

Given numbers are 3145/853,7154/9900

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 3145,7154

Least Common Multiple of Numerators i.e. LCM of 3145,7154 is 22499330.

GCF of Denominators means GCF of 853,9900 as per the given fractions.

GCF of 853,9900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3145,7154

LCM of Fractions 3145/853,7154/9900 is 22499330

Given numbers has no common factors except 1. So, there LCM is their product i.e 22499330

Least Common Multiple of 3145,7154 with GCF Formula

Least Common Multiple of 3145,7154 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 3145,7154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3145,7154) = 1

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

GCF(3145,7154) x common factors =1 x 1 = 1

LCM(3145,7154) = ( 3145 × 7154 ) / 1

LCM(3145,7154) = 22499330 / 1

LCM(3145,7154) = 22499330


Lets's calculate GCF of 853,9900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22499330/1

Therefore the LCM of Fractions 3145/853,7154/9900 is 22499330

Greatest Common Factor of 853,9900 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,9900 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 9900

List of positive integer factors of 9900 that divides 9900 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900

Greatest Common Factor

We found the factors 853,9900 . The biggest common factor number is the GCF number.
So the greatest common factor 853,9900 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 3145/853, 7154/9900

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 3145/853, 7154/9900?

Answer: LCM of Numerators as per given numbers 3145/853, 7154/9900 is

LCM of Numerators i.e. for 3145,7154 is 22499330

GCF of denominators i.e. for 853,9900 is 1.

Thus, LCM of Fractions is 22499330.Finally, LCM of Fractions for 3145/853, 7154/9900 is 22499330.