Least Common Multiple of 99/825, 352/980, 290/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/825, 352/980, 290/110 quickly i.e. 91872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/825, 352/980, 290/110 is 91872.

LCM(99/825, 352/980, 290/110) = 91872

LCM of 99/825, 352/980, 290/110

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 99/825,352/980,290/110

Given numbers are 99/825,352/980,290/110

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 99,352,290

Least Common Multiple of Numerators i.e. LCM of 99,352,290 is 459360.

GCF of Denominators means GCF of 825,980,110 as per the given fractions.

GCF of 825,980,110 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,352,290

LCM of Fractions 99/825,352/980,290/110 is 91872

2 99, 352, 290
11 99, 176, 145
9, 16, 145

∴ So the LCM of the given numbers is 2 x 11 x 9 x 16 x 145 = 459360

Least Common Multiple of 99,352,290 with GCF Formula

Least Common Multiple of 99,352,290 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 99,352,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,352,290) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(99,352,290) x common factors =1 x 22 = 22

LCM(99,352,290) = ( 99 × 352 × 290 ) / 22

LCM(99,352,290) = 10105920 / 22

LCM(99,352,290) = 459360


Lets's calculate GCF of 825,980,110

5 825, 980, 110
165, 196, 22

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 459360/5

Therefore the LCM of Fractions 99/825,352/980,290/110 is 91872

Greatest Common Factor of 825,980,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,980,110 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 825,980,110 . The biggest common factor number is the GCF number.
So the greatest common factor 825,980,110 is 5.


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 99/825, 352/980, 290/110

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 99/825, 352/980, 290/110?

Answer: LCM of Numerators as per given numbers 99/825, 352/980, 290/110 is

LCM of Numerators i.e. for 99,352,290 is 459360

GCF of denominators i.e. for 825,980,110 is 5.

Thus, LCM of Fractions is 91872.Finally, LCM of Fractions for 99/825, 352/980, 290/110 is 91872.