Least Common Multiple of 55/993, 546/624, 674/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/993, 546/624, 674/912 quickly i.e. 3373370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/993, 546/624, 674/912 is 3373370.

LCM(55/993, 546/624, 674/912) = 3373370

LCM of 55/993, 546/624, 674/912

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 55/993,546/624,674/912

Given numbers are 55/993,546/624,674/912

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 55,546,674

Least Common Multiple of Numerators i.e. LCM of 55,546,674 is 10120110.

GCF of Denominators means GCF of 993,624,912 as per the given fractions.

GCF of 993,624,912 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,546,674

LCM of Fractions 55/993,546/624,674/912 is 3373370

2 55, 546, 674
55, 273, 337

∴ So the LCM of the given numbers is 2 x 55 x 273 x 337 = 10120110

Least Common Multiple of 55,546,674 with GCF Formula

Least Common Multiple of 55,546,674 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 55,546,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,546,674) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(55,546,674) x common factors =1 x 2 = 2

LCM(55,546,674) = ( 55 × 546 × 674 ) / 2

LCM(55,546,674) = 20240220 / 2

LCM(55,546,674) = 10120110


Lets's calculate GCF of 993,624,912

3 993, 624, 912
331, 208, 304

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10120110/3

Therefore the LCM of Fractions 55/993,546/624,674/912 is 3373370

Greatest Common Factor of 993,624,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,624,912 By Matching Biggest Common Factor Method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 993,624,912 . The biggest common factor number is the GCF number.
So the greatest common factor 993,624,912 is 3.


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 55/993, 546/624, 674/912

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 55/993, 546/624, 674/912?

Answer: LCM of Numerators as per given numbers 55/993, 546/624, 674/912 is

LCM of Numerators i.e. for 55,546,674 is 10120110

GCF of denominators i.e. for 993,624,912 is 3.

Thus, LCM of Fractions is 3373370.Finally, LCM of Fractions for 55/993, 546/624, 674/912 is 3373370.