Least Common Multiple of 99/61, 90/89, 11/45, 88/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/61, 90/89, 11/45, 88/105 quickly i.e. 3960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/61, 90/89, 11/45, 88/105 is 3960.

LCM(99/61, 90/89, 11/45, 88/105) = 3960

LCM of 99/61, 90/89, 11/45, 88/105

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 99/61,90/89,11/45,88/105

Given numbers are 99/61,90/89,11/45,88/105

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 99,90,11,88

Least Common Multiple of Numerators i.e. LCM of 99,90,11,88 is 3960.

GCF of Denominators means GCF of 61,89,45,105 as per the given fractions.

GCF of 61,89,45,105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,90,11,88

LCM of Fractions 99/61,90/89,11/45,88/105 is 3960

2 99, 90, 11, 88
3 99, 45, 11, 44
3 33, 15, 11, 44
11 11, 5, 11, 44
1, 5, 1, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 1 x 5 x 1 x 4 = 3960

Least Common Multiple of 99,90,11,88 with GCF Formula

Least Common Multiple of 99,90,11,88 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 99,90,11,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,90,11,88) = 1

common factors(in case of two or more numbers have common factors) = 2178

GCF(99,90,11,88) x common factors =1 x 2178 = 2178

LCM(99,90,11,88) = ( 99 × 90 × 11 × 88 ) / 2178

LCM(99,90,11,88) = 8624880 / 2178

LCM(99,90,11,88) = 3960


Lets's calculate GCF of 61,89,45,105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3960/1

Therefore the LCM of Fractions 99/61,90/89,11/45,88/105 is 3960

Greatest Common Factor of 61,89,45,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,89,45,105 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 61,89,45,105 . The biggest common factor number is the GCF number.
So the greatest common factor 61,89,45,105 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 99/61, 90/89, 11/45, 88/105

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 99/61, 90/89, 11/45, 88/105?

Answer: LCM of Numerators as per given numbers 99/61, 90/89, 11/45, 88/105 is

LCM of Numerators i.e. for 99,90,11,88 is 3960

GCF of denominators i.e. for 61,89,45,105 is 1.

Thus, LCM of Fractions is 3960.Finally, LCM of Fractions for 99/61, 90/89, 11/45, 88/105 is 3960.