Least Common Multiple of 89/920, 6546/9100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/920, 6546/9100 quickly i.e. 582594/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/920, 6546/9100 is 582594/20.

LCM(89/920, 6546/9100) = 582594/20

LCM of 89/920, 6546/9100

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 89/920,6546/9100

Given numbers are 89/920,6546/9100

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 89,6546

Least Common Multiple of Numerators i.e. LCM of 89,6546 is 582594.

GCF of Denominators means GCF of 920,9100 as per the given fractions.

GCF of 920,9100 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,6546

LCM of Fractions 89/920,6546/9100 is 582594/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 582594

Least Common Multiple of 89,6546 with GCF Formula

Least Common Multiple of 89,6546 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 89,6546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,6546) = 1

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

GCF(89,6546) x common factors =1 x 1 = 1

LCM(89,6546) = ( 89 × 6546 ) / 1

LCM(89,6546) = 582594 / 1

LCM(89,6546) = 582594


Lets's calculate GCF of 920,9100

2 920, 9100
2 460, 4550
5 230, 2275
46, 455

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 582594/20

Therefore the LCM of Fractions 89/920,6546/9100 is 582594/20

Greatest Common Factor of 920,9100 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,9100 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 9100

List of positive integer factors of 9100 that divides 9100 without a remainder.

1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100

Greatest Common Factor

We found the factors 920,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 920,9100 is 20.


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 89/920, 6546/9100

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 89/920, 6546/9100?

Answer: LCM of Numerators as per given numbers 89/920, 6546/9100 is

LCM of Numerators i.e. for 89,6546 is 582594

GCF of denominators i.e. for 920,9100 is 20.

Thus, LCM of Fractions is 582594/20.Finally, LCM of Fractions for 89/920, 6546/9100 is 582594/20.