Least Common Multiple of 998/366, 6780/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/366, 6780/744 quickly i.e. 563870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/366, 6780/744 is 563870.

LCM(998/366, 6780/744) = 563870

LCM of 998/366, 6780/744

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 998/366,6780/744

Given numbers are 998/366,6780/744

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 998,6780

Least Common Multiple of Numerators i.e. LCM of 998,6780 is 3383220.

GCF of Denominators means GCF of 366,744 as per the given fractions.

GCF of 366,744 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,6780

LCM of Fractions 998/366,6780/744 is 563870

2 998, 6780
499, 3390

∴ So the LCM of the given numbers is 2 x 499 x 3390 = 3383220

Least Common Multiple of 998,6780 with GCF Formula

Least Common Multiple of 998,6780 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 998,6780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,6780) = 2

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

GCF(998,6780) x common factors =2 x 1 = 2

LCM(998,6780) = ( 998 × 6780 ) / 2

LCM(998,6780) = 6766440 / 2

LCM(998,6780) = 3383220


Lets's calculate GCF of 366,744

2 366, 744
3 183, 372
61, 124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3383220/6

Therefore the LCM of Fractions 998/366,6780/744 is 563870

Greatest Common Factor of 366,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,744 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 366,744 . The biggest common factor number is the GCF number.
So the greatest common factor 366,744 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 998/366, 6780/744

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 998/366, 6780/744?

Answer: LCM of Numerators as per given numbers 998/366, 6780/744 is

LCM of Numerators i.e. for 998,6780 is 3383220

GCF of denominators i.e. for 366,744 is 6.

Thus, LCM of Fractions is 563870.Finally, LCM of Fractions for 998/366, 6780/744 is 563870.