Least Common Multiple of 4924/546, 5243/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4924/546, 5243/830 quickly i.e. 12908266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4924/546, 5243/830 is 12908266.

LCM(4924/546, 5243/830) = 12908266

LCM of 4924/546, 5243/830

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 4924/546,5243/830

Given numbers are 4924/546,5243/830

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 4924,5243

Least Common Multiple of Numerators i.e. LCM of 4924,5243 is 25816532.

GCF of Denominators means GCF of 546,830 as per the given fractions.

GCF of 546,830 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4924,5243

LCM of Fractions 4924/546,5243/830 is 12908266

Given numbers has no common factors except 1. So, there LCM is their product i.e 25816532

Least Common Multiple of 4924,5243 with GCF Formula

Least Common Multiple of 4924,5243 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 4924,5243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4924,5243) = 1

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

GCF(4924,5243) x common factors =1 x 1 = 1

LCM(4924,5243) = ( 4924 × 5243 ) / 1

LCM(4924,5243) = 25816532 / 1

LCM(4924,5243) = 25816532


Lets's calculate GCF of 546,830

2 546, 830
273, 415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25816532/2

Therefore the LCM of Fractions 4924/546,5243/830 is 12908266

Greatest Common Factor of 546,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,830 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 546,830 . The biggest common factor number is the GCF number.
So the greatest common factor 546,830 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 4924/546, 5243/830

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 4924/546, 5243/830?

Answer: LCM of Numerators as per given numbers 4924/546, 5243/830 is

LCM of Numerators i.e. for 4924,5243 is 25816532

GCF of denominators i.e. for 546,830 is 2.

Thus, LCM of Fractions is 12908266.Finally, LCM of Fractions for 4924/546, 5243/830 is 12908266.