Least Common Multiple of 748/828, 4930/5852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 748/828, 4930/5852 quickly i.e. 27115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 748/828, 4930/5852 is 27115.

LCM(748/828, 4930/5852) = 27115

LCM of 748/828, 4930/5852

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 748/828,4930/5852

Given numbers are 748/828,4930/5852

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 748,4930

Least Common Multiple of Numerators i.e. LCM of 748,4930 is 108460.

GCF of Denominators means GCF of 828,5852 as per the given fractions.

GCF of 828,5852 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 748,4930

LCM of Fractions 748/828,4930/5852 is 27115

2 748, 4930
17 374, 2465
22, 145

∴ So the LCM of the given numbers is 2 x 17 x 22 x 145 = 108460

Least Common Multiple of 748,4930 with GCF Formula

Least Common Multiple of 748,4930 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 748,4930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,4930) = 34

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

GCF(748,4930) x common factors =34 x 1 = 34

LCM(748,4930) = ( 748 × 4930 ) / 34

LCM(748,4930) = 3687640 / 34

LCM(748,4930) = 108460


Lets's calculate GCF of 828,5852

2 828, 5852
2 414, 2926
207, 1463

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108460/4

Therefore the LCM of Fractions 748/828,4930/5852 is 27115

Greatest Common Factor of 828,5852 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,5852 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 5852

List of positive integer factors of 5852 that divides 5852 without a remainder.

1,2,4,7,11,14,19,22,28,38,44,76,77,133,154,209,266,308,418,532,836,1463,2926,5852

Greatest Common Factor

We found the factors 828,5852 . The biggest common factor number is the GCF number.
So the greatest common factor 828,5852 is 4.


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 748/828, 4930/5852

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 748/828, 4930/5852?

Answer: LCM of Numerators as per given numbers 748/828, 4930/5852 is

LCM of Numerators i.e. for 748,4930 is 108460

GCF of denominators i.e. for 828,5852 is 4.

Thus, LCM of Fractions is 27115.Finally, LCM of Fractions for 748/828, 4930/5852 is 27115.