Least Common Multiple of 89/84, 330/96, 930/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/84, 330/96, 930/810 quickly i.e. 151745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/84, 330/96, 930/810 is 151745.

LCM(89/84, 330/96, 930/810) = 151745

LCM of 89/84, 330/96, 930/810

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 89/84,330/96,930/810

Given numbers are 89/84,330/96,930/810

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 89,330,930

Least Common Multiple of Numerators i.e. LCM of 89,330,930 is 910470.

GCF of Denominators means GCF of 84,96,810 as per the given fractions.

GCF of 84,96,810 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,330,930

LCM of Fractions 89/84,330/96,930/810 is 151745

2 89, 330, 930
3 89, 165, 465
5 89, 55, 155
89, 11, 31

∴ So the LCM of the given numbers is 2 x 3 x 5 x 89 x 11 x 31 = 910470

Least Common Multiple of 89,330,930 with GCF Formula

Least Common Multiple of 89,330,930 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 89,330,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,330,930) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(89,330,930) x common factors =1 x 30 = 30

LCM(89,330,930) = ( 89 × 330 × 930 ) / 30

LCM(89,330,930) = 27314100 / 30

LCM(89,330,930) = 910470


Lets's calculate GCF of 84,96,810

2 84, 96, 810
3 42, 48, 405
14, 16, 135

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 910470/6

Therefore the LCM of Fractions 89/84,330/96,930/810 is 151745

Greatest Common Factor of 84,96,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,96,810 By Matching Biggest Common Factor Method

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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 84,96,810 . The biggest common factor number is the GCF number.
So the greatest common factor 84,96,810 is 6.


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 89/84, 330/96, 930/810

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 89/84, 330/96, 930/810?

Answer: LCM of Numerators as per given numbers 89/84, 330/96, 930/810 is

LCM of Numerators i.e. for 89,330,930 is 910470

GCF of denominators i.e. for 84,96,810 is 6.

Thus, LCM of Fractions is 151745.Finally, LCM of Fractions for 89/84, 330/96, 930/810 is 151745.