Least Common Multiple of 98/999, 324/480, 912/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/999, 324/480, 912/335 quickly i.e. 1206576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/999, 324/480, 912/335 is 1206576.

LCM(98/999, 324/480, 912/335) = 1206576

LCM of 98/999, 324/480, 912/335

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 98/999,324/480,912/335

Given numbers are 98/999,324/480,912/335

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 98,324,912

Least Common Multiple of Numerators i.e. LCM of 98,324,912 is 1206576.

GCF of Denominators means GCF of 999,480,335 as per the given fractions.

GCF of 999,480,335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,324,912

LCM of Fractions 98/999,324/480,912/335 is 1206576

2 98, 324, 912
2 49, 162, 456
3 49, 81, 228
49, 27, 76

∴ So the LCM of the given numbers is 2 x 2 x 3 x 49 x 27 x 76 = 1206576

Least Common Multiple of 98,324,912 with GCF Formula

Least Common Multiple of 98,324,912 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 98,324,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,324,912) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(98,324,912) x common factors =2 x 12 = 24

LCM(98,324,912) = ( 98 × 324 × 912 ) / 24

LCM(98,324,912) = 28957824 / 24

LCM(98,324,912) = 1206576


Lets's calculate GCF of 999,480,335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1206576/1

Therefore the LCM of Fractions 98/999,324/480,912/335 is 1206576

Greatest Common Factor of 999,480,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,480,335 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 999,480,335 . The biggest common factor number is the GCF number.
So the greatest common factor 999,480,335 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/999, 324/480, 912/335

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 98/999, 324/480, 912/335?

Answer: LCM of Numerators as per given numbers 98/999, 324/480, 912/335 is

LCM of Numerators i.e. for 98,324,912 is 1206576

GCF of denominators i.e. for 999,480,335 is 1.

Thus, LCM of Fractions is 1206576.Finally, LCM of Fractions for 98/999, 324/480, 912/335 is 1206576.