Least Common Multiple of 930/96, 207/44, 998/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 930/96, 207/44, 998/830 quickly i.e. 16010415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/96, 207/44, 998/830 is 16010415.

LCM(930/96, 207/44, 998/830) = 16010415

LCM of 930/96, 207/44, 998/830

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 930/96,207/44,998/830

Given numbers are 930/96,207/44,998/830

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 930,207,998

Least Common Multiple of Numerators i.e. LCM of 930,207,998 is 32020830.

GCF of Denominators means GCF of 96,44,830 as per the given fractions.

GCF of 96,44,830 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,207,998

LCM of Fractions 930/96,207/44,998/830 is 16010415

2 930, 207, 998
3 465, 207, 499
155, 69, 499

∴ So the LCM of the given numbers is 2 x 3 x 155 x 69 x 499 = 32020830

Least Common Multiple of 930,207,998 with GCF Formula

Least Common Multiple of 930,207,998 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 930,207,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,207,998) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(930,207,998) x common factors =1 x 6 = 6

LCM(930,207,998) = ( 930 × 207 × 998 ) / 6

LCM(930,207,998) = 192124980 / 6

LCM(930,207,998) = 32020830


Lets's calculate GCF of 96,44,830

2 96, 44, 830
48, 22, 415

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32020830/2

Therefore the LCM of Fractions 930/96,207/44,998/830 is 16010415

Greatest Common Factor of 96,44,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,44,830 By Matching Biggest Common Factor Method

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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 96,44,830 . The biggest common factor number is the GCF number.
So the greatest common factor 96,44,830 is 2.


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 930/96, 207/44, 998/830

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 930/96, 207/44, 998/830?

Answer: LCM of Numerators as per given numbers 930/96, 207/44, 998/830 is

LCM of Numerators i.e. for 930,207,998 is 32020830

GCF of denominators i.e. for 96,44,830 is 2.

Thus, LCM of Fractions is 16010415.Finally, LCM of Fractions for 930/96, 207/44, 998/830 is 16010415.