Least Common Multiple of 978/336, 792/500, 973/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/336, 792/500, 973/134 quickly i.e. 62805204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/336, 792/500, 973/134 is 62805204.

LCM(978/336, 792/500, 973/134) = 62805204

LCM of 978/336, 792/500, 973/134

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 978/336,792/500,973/134

Given numbers are 978/336,792/500,973/134

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 978,792,973

Least Common Multiple of Numerators i.e. LCM of 978,792,973 is 125610408.

GCF of Denominators means GCF of 336,500,134 as per the given fractions.

GCF of 336,500,134 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,792,973

LCM of Fractions 978/336,792/500,973/134 is 62805204

2 978, 792, 973
3 489, 396, 973
163, 132, 973

∴ So the LCM of the given numbers is 2 x 3 x 163 x 132 x 973 = 125610408

Least Common Multiple of 978,792,973 with GCF Formula

Least Common Multiple of 978,792,973 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 978,792,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,792,973) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(978,792,973) x common factors =1 x 6 = 6

LCM(978,792,973) = ( 978 × 792 × 973 ) / 6

LCM(978,792,973) = 753662448 / 6

LCM(978,792,973) = 125610408


Lets's calculate GCF of 336,500,134

2 336, 500, 134
168, 250, 67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125610408/2

Therefore the LCM of Fractions 978/336,792/500,973/134 is 62805204

Greatest Common Factor of 336,500,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,500,134 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 336,500,134 . The biggest common factor number is the GCF number.
So the greatest common factor 336,500,134 is 2.


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 978/336, 792/500, 973/134

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 978/336, 792/500, 973/134?

Answer: LCM of Numerators as per given numbers 978/336, 792/500, 973/134 is

LCM of Numerators i.e. for 978,792,973 is 125610408

GCF of denominators i.e. for 336,500,134 is 2.

Thus, LCM of Fractions is 62805204.Finally, LCM of Fractions for 978/336, 792/500, 973/134 is 62805204.