Least Common Multiple of 89/99, 78/84, 60/45, 63/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/99, 78/84, 60/45, 63/260 quickly i.e. 1457820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/99, 78/84, 60/45, 63/260 is 1457820.

LCM(89/99, 78/84, 60/45, 63/260) = 1457820

LCM of 89/99, 78/84, 60/45, 63/260

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 89/99,78/84,60/45,63/260

Given numbers are 89/99,78/84,60/45,63/260

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 89,78,60,63

Least Common Multiple of Numerators i.e. LCM of 89,78,60,63 is 1457820.

GCF of Denominators means GCF of 99,84,45,260 as per the given fractions.

GCF of 99,84,45,260 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,78,60,63

LCM of Fractions 89/99,78/84,60/45,63/260 is 1457820

2 89, 78, 60, 63
3 89, 39, 30, 63
89, 13, 10, 21

∴ So the LCM of the given numbers is 2 x 3 x 89 x 13 x 10 x 21 = 1457820

Least Common Multiple of 89,78,60,63 with GCF Formula

Least Common Multiple of 89,78,60,63 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 89,78,60,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,78,60,63) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(89,78,60,63) x common factors =1 x 18 = 18

LCM(89,78,60,63) = ( 89 × 78 × 60 × 63 ) / 18

LCM(89,78,60,63) = 26240760 / 18

LCM(89,78,60,63) = 1457820


Lets's calculate GCF of 99,84,45,260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1457820/1

Therefore the LCM of Fractions 89/99,78/84,60/45,63/260 is 1457820

Greatest Common Factor of 99,84,45,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,84,45,260 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 45

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

1,3,5,9,15,45

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 99,84,45,260 . The biggest common factor number is the GCF number.
So the greatest common factor 99,84,45,260 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 89/99, 78/84, 60/45, 63/260

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 89/99, 78/84, 60/45, 63/260?

Answer: LCM of Numerators as per given numbers 89/99, 78/84, 60/45, 63/260 is

LCM of Numerators i.e. for 89,78,60,63 is 1457820

GCF of denominators i.e. for 99,84,45,260 is 1.

Thus, LCM of Fractions is 1457820.Finally, LCM of Fractions for 89/99, 78/84, 60/45, 63/260 is 1457820.