Least Common Multiple of 926/45, 306/4739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 926/45, 306/4739 quickly i.e. 141678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 926/45, 306/4739 is 141678.

LCM(926/45, 306/4739) = 141678

LCM of 926/45, 306/4739

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 926/45,306/4739

Given numbers are 926/45,306/4739

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 926,306

Least Common Multiple of Numerators i.e. LCM of 926,306 is 141678.

GCF of Denominators means GCF of 45,4739 as per the given fractions.

GCF of 45,4739 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 926,306

LCM of Fractions 926/45,306/4739 is 141678

2 926, 306
463, 153

∴ So the LCM of the given numbers is 2 x 463 x 153 = 141678

Least Common Multiple of 926,306 with GCF Formula

Least Common Multiple of 926,306 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 926,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,306) = 2

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

GCF(926,306) x common factors =2 x 1 = 2

LCM(926,306) = ( 926 × 306 ) / 2

LCM(926,306) = 283356 / 2

LCM(926,306) = 141678


Lets's calculate GCF of 45,4739

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141678/1

Therefore the LCM of Fractions 926/45,306/4739 is 141678

Greatest Common Factor of 45,4739 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,4739 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 4739

List of positive integer factors of 4739 that divides 4739 without a remainder.

1,7,677,4739

Greatest Common Factor

We found the factors 45,4739 . The biggest common factor number is the GCF number.
So the greatest common factor 45,4739 is 1.


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 926/45, 306/4739

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 926/45, 306/4739?

Answer: LCM of Numerators as per given numbers 926/45, 306/4739 is

LCM of Numerators i.e. for 926,306 is 141678

GCF of denominators i.e. for 45,4739 is 1.

Thus, LCM of Fractions is 141678.Finally, LCM of Fractions for 926/45, 306/4739 is 141678.