Least Common Multiple of 4468/748, 5854/1530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4468/748, 5854/1530 quickly i.e. 13077836/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4468/748, 5854/1530 is 13077836/34.

LCM(4468/748, 5854/1530) = 13077836/34

LCM of 4468/748, 5854/1530

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 4468/748,5854/1530

Given numbers are 4468/748,5854/1530

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 4468,5854

Least Common Multiple of Numerators i.e. LCM of 4468,5854 is 13077836.

GCF of Denominators means GCF of 748,1530 as per the given fractions.

GCF of 748,1530 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4468,5854

LCM of Fractions 4468/748,5854/1530 is 13077836/34

2 4468, 5854
2234, 2927

∴ So the LCM of the given numbers is 2 x 2234 x 2927 = 13077836

Least Common Multiple of 4468,5854 with GCF Formula

Least Common Multiple of 4468,5854 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 4468,5854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4468,5854) = 2

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

GCF(4468,5854) x common factors =2 x 1 = 2

LCM(4468,5854) = ( 4468 × 5854 ) / 2

LCM(4468,5854) = 26155672 / 2

LCM(4468,5854) = 13077836


Lets's calculate GCF of 748,1530

2 748, 1530
17 374, 765
22, 45

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13077836/34

Therefore the LCM of Fractions 4468/748,5854/1530 is 13077836/34

Greatest Common Factor of 748,1530 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,1530 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 1530

List of positive integer factors of 1530 that divides 1530 without a remainder.

1,2,3,5,6,9,10,15,17,18,30,34,45,51,85,90,102,153,170,255,306,510,765,1530

Greatest Common Factor

We found the factors 748,1530 . The biggest common factor number is the GCF number.
So the greatest common factor 748,1530 is 34.


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 4468/748, 5854/1530

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 4468/748, 5854/1530?

Answer: LCM of Numerators as per given numbers 4468/748, 5854/1530 is

LCM of Numerators i.e. for 4468,5854 is 13077836

GCF of denominators i.e. for 748,1530 is 34.

Thus, LCM of Fractions is 13077836/34.Finally, LCM of Fractions for 4468/748, 5854/1530 is 13077836/34.