Least Common Multiple of 998/830, 9120/6309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/830, 9120/6309 quickly i.e. 4550880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/830, 9120/6309 is 4550880.

LCM(998/830, 9120/6309) = 4550880

LCM of 998/830, 9120/6309

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 998/830,9120/6309

Given numbers are 998/830,9120/6309

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 998,9120

Least Common Multiple of Numerators i.e. LCM of 998,9120 is 4550880.

GCF of Denominators means GCF of 830,6309 as per the given fractions.

GCF of 830,6309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,9120

LCM of Fractions 998/830,9120/6309 is 4550880

2 998, 9120
499, 4560

∴ So the LCM of the given numbers is 2 x 499 x 4560 = 4550880

Least Common Multiple of 998,9120 with GCF Formula

Least Common Multiple of 998,9120 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 998,9120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,9120) = 2

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

GCF(998,9120) x common factors =2 x 1 = 2

LCM(998,9120) = ( 998 × 9120 ) / 2

LCM(998,9120) = 9101760 / 2

LCM(998,9120) = 4550880


Lets's calculate GCF of 830,6309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4550880/1

Therefore the LCM of Fractions 998/830,9120/6309 is 4550880

Greatest Common Factor of 830,6309 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,6309 By Matching Biggest Common Factor Method

Factors of 830

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

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

Factors of 6309

List of positive integer factors of 6309 that divides 6309 without a remainder.

1,3,9,701,2103,6309

Greatest Common Factor

We found the factors 830,6309 . The biggest common factor number is the GCF number.
So the greatest common factor 830,6309 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 998/830, 9120/6309

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 998/830, 9120/6309?

Answer: LCM of Numerators as per given numbers 998/830, 9120/6309 is

LCM of Numerators i.e. for 998,9120 is 4550880

GCF of denominators i.e. for 830,6309 is 1.

Thus, LCM of Fractions is 4550880.Finally, LCM of Fractions for 998/830, 9120/6309 is 4550880.