Least Common Multiple of 4966/930, 2124/9858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4966/930, 2124/9858 quickly i.e. 5273892/186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4966/930, 2124/9858 is 5273892/186.

LCM(4966/930, 2124/9858) = 5273892/186

LCM of 4966/930, 2124/9858

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 4966/930,2124/9858

Given numbers are 4966/930,2124/9858

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 4966,2124

Least Common Multiple of Numerators i.e. LCM of 4966,2124 is 5273892.

GCF of Denominators means GCF of 930,9858 as per the given fractions.

GCF of 930,9858 is 186 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4966,2124

LCM of Fractions 4966/930,2124/9858 is 5273892/186

2 4966, 2124
2483, 1062

∴ So the LCM of the given numbers is 2 x 2483 x 1062 = 5273892

Least Common Multiple of 4966,2124 with GCF Formula

Least Common Multiple of 4966,2124 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 4966,2124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4966,2124) = 2

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

GCF(4966,2124) x common factors =2 x 1 = 2

LCM(4966,2124) = ( 4966 × 2124 ) / 2

LCM(4966,2124) = 10547784 / 2

LCM(4966,2124) = 5273892


Lets's calculate GCF of 930,9858

2 930, 9858
3 465, 4929
31 155, 1643
5, 53

∴ So the GCF of the given numbers is 2 x 3 x 31 = 186

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5273892/186

Therefore the LCM of Fractions 4966/930,2124/9858 is 5273892/186

Greatest Common Factor of 930,9858 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,9858 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 9858

List of positive integer factors of 9858 that divides 9858 without a remainder.

1,2,3,6,31,53,62,93,106,159,186,318,1643,3286,4929,9858

Greatest Common Factor

We found the factors 930,9858 . The biggest common factor number is the GCF number.
So the greatest common factor 930,9858 is 186.


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 4966/930, 2124/9858

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 4966/930, 2124/9858?

Answer: LCM of Numerators as per given numbers 4966/930, 2124/9858 is

LCM of Numerators i.e. for 4966,2124 is 5273892

GCF of denominators i.e. for 930,9858 is 186.

Thus, LCM of Fractions is 5273892/186.Finally, LCM of Fractions for 4966/930, 2124/9858 is 5273892/186.