Least Common Multiple of 99/830, 5490/1965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/830, 5490/1965 quickly i.e. 12078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/830, 5490/1965 is 12078.

LCM(99/830, 5490/1965) = 12078

LCM of 99/830, 5490/1965

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 99/830,5490/1965

Given numbers are 99/830,5490/1965

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 99,5490

Least Common Multiple of Numerators i.e. LCM of 99,5490 is 60390.

GCF of Denominators means GCF of 830,1965 as per the given fractions.

GCF of 830,1965 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,5490

LCM of Fractions 99/830,5490/1965 is 12078

3 99, 5490
3 33, 1830
11, 610

∴ So the LCM of the given numbers is 3 x 3 x 11 x 610 = 60390

Least Common Multiple of 99,5490 with GCF Formula

Least Common Multiple of 99,5490 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 99,5490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,5490) = 9

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

GCF(99,5490) x common factors =9 x 1 = 9

LCM(99,5490) = ( 99 × 5490 ) / 9

LCM(99,5490) = 543510 / 9

LCM(99,5490) = 60390


Lets's calculate GCF of 830,1965

5 830, 1965
166, 393

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60390/5

Therefore the LCM of Fractions 99/830,5490/1965 is 12078

Greatest Common Factor of 830,1965 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,1965 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 1965

List of positive integer factors of 1965 that divides 1965 without a remainder.

1,3,5,15,131,393,655,1965

Greatest Common Factor

We found the factors 830,1965 . The biggest common factor number is the GCF number.
So the greatest common factor 830,1965 is 5.


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 99/830, 5490/1965

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 99/830, 5490/1965?

Answer: LCM of Numerators as per given numbers 99/830, 5490/1965 is

LCM of Numerators i.e. for 99,5490 is 60390

GCF of denominators i.e. for 830,1965 is 5.

Thus, LCM of Fractions is 12078.Finally, LCM of Fractions for 99/830, 5490/1965 is 12078.