Least Common Multiple of 902/184, 736/792, 978/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 902/184, 736/792, 978/376 quickly i.e. 20289588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 902/184, 736/792, 978/376 is 20289588.

LCM(902/184, 736/792, 978/376) = 20289588

LCM of 902/184, 736/792, 978/376

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 902/184,736/792,978/376

Given numbers are 902/184,736/792,978/376

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 902,736,978

Least Common Multiple of Numerators i.e. LCM of 902,736,978 is 162316704.

GCF of Denominators means GCF of 184,792,376 as per the given fractions.

GCF of 184,792,376 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 902,736,978

LCM of Fractions 902/184,736/792,978/376 is 20289588

2 902, 736, 978
451, 368, 489

∴ So the LCM of the given numbers is 2 x 451 x 368 x 489 = 162316704

Least Common Multiple of 902,736,978 with GCF Formula

Least Common Multiple of 902,736,978 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 902,736,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,736,978) = 2

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

GCF(902,736,978) x common factors =2 x 2 = 4

LCM(902,736,978) = ( 902 × 736 × 978 ) / 4

LCM(902,736,978) = 649266816 / 4

LCM(902,736,978) = 162316704


Lets's calculate GCF of 184,792,376

2 184, 792, 376
2 92, 396, 188
2 46, 198, 94
23, 99, 47

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162316704/8

Therefore the LCM of Fractions 902/184,736/792,978/376 is 20289588

Greatest Common Factor of 184,792,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,792,376 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 184,792,376 . The biggest common factor number is the GCF number.
So the greatest common factor 184,792,376 is 8.


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 902/184, 736/792, 978/376

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 902/184, 736/792, 978/376?

Answer: LCM of Numerators as per given numbers 902/184, 736/792, 978/376 is

LCM of Numerators i.e. for 902,736,978 is 162316704

GCF of denominators i.e. for 184,792,376 is 8.

Thus, LCM of Fractions is 20289588.Finally, LCM of Fractions for 902/184, 736/792, 978/376 is 20289588.