Least Common Multiple of 488/92, 570/4944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/92, 570/4944 quickly i.e. 34770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/92, 570/4944 is 34770.

LCM(488/92, 570/4944) = 34770

LCM of 488/92, 570/4944

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 488/92,570/4944

Given numbers are 488/92,570/4944

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 488,570

Least Common Multiple of Numerators i.e. LCM of 488,570 is 139080.

GCF of Denominators means GCF of 92,4944 as per the given fractions.

GCF of 92,4944 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,570

LCM of Fractions 488/92,570/4944 is 34770

2 488, 570
244, 285

∴ So the LCM of the given numbers is 2 x 244 x 285 = 139080

Least Common Multiple of 488,570 with GCF Formula

Least Common Multiple of 488,570 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 488,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,570) = 2

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

GCF(488,570) x common factors =2 x 1 = 2

LCM(488,570) = ( 488 × 570 ) / 2

LCM(488,570) = 278160 / 2

LCM(488,570) = 139080


Lets's calculate GCF of 92,4944

2 92, 4944
2 46, 2472
23, 1236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139080/4

Therefore the LCM of Fractions 488/92,570/4944 is 34770

Greatest Common Factor of 92,4944 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,4944 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 4944

List of positive integer factors of 4944 that divides 4944 without a remainder.

1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944

Greatest Common Factor

We found the factors 92,4944 . The biggest common factor number is the GCF number.
So the greatest common factor 92,4944 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 488/92, 570/4944

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 488/92, 570/4944?

Answer: LCM of Numerators as per given numbers 488/92, 570/4944 is

LCM of Numerators i.e. for 488,570 is 139080

GCF of denominators i.e. for 92,4944 is 4.

Thus, LCM of Fractions is 34770.Finally, LCM of Fractions for 488/92, 570/4944 is 34770.