Least Common Multiple of 912/506, 9340/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 912/506, 9340/172 quickly i.e. 1064760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 912/506, 9340/172 is 1064760.

LCM(912/506, 9340/172) = 1064760

LCM of 912/506, 9340/172

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 912/506,9340/172

Given numbers are 912/506,9340/172

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 912,9340

Least Common Multiple of Numerators i.e. LCM of 912,9340 is 2129520.

GCF of Denominators means GCF of 506,172 as per the given fractions.

GCF of 506,172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 912,9340

LCM of Fractions 912/506,9340/172 is 1064760

2 912, 9340
2 456, 4670
228, 2335

∴ So the LCM of the given numbers is 2 x 2 x 228 x 2335 = 2129520

Least Common Multiple of 912,9340 with GCF Formula

Least Common Multiple of 912,9340 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 912,9340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,9340) = 4

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

GCF(912,9340) x common factors =4 x 1 = 4

LCM(912,9340) = ( 912 × 9340 ) / 4

LCM(912,9340) = 8518080 / 4

LCM(912,9340) = 2129520


Lets's calculate GCF of 506,172

2 506, 172
253, 86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2129520/2

Therefore the LCM of Fractions 912/506,9340/172 is 1064760

Greatest Common Factor of 506,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,172 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 506,172 . The biggest common factor number is the GCF number.
So the greatest common factor 506,172 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 912/506, 9340/172

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 912/506, 9340/172?

Answer: LCM of Numerators as per given numbers 912/506, 9340/172 is

LCM of Numerators i.e. for 912,9340 is 2129520

GCF of denominators i.e. for 506,172 is 2.

Thus, LCM of Fractions is 1064760.Finally, LCM of Fractions for 912/506, 9340/172 is 1064760.