Least Common Multiple of 49/576, 1630/8168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/576, 1630/8168 quickly i.e. 79870/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/576, 1630/8168 is 79870/8.

LCM(49/576, 1630/8168) = 79870/8

LCM of 49/576, 1630/8168

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 49/576,1630/8168

Given numbers are 49/576,1630/8168

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 49,1630

Least Common Multiple of Numerators i.e. LCM of 49,1630 is 79870.

GCF of Denominators means GCF of 576,8168 as per the given fractions.

GCF of 576,8168 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,1630

LCM of Fractions 49/576,1630/8168 is 79870/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 79870

Least Common Multiple of 49,1630 with GCF Formula

Least Common Multiple of 49,1630 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 49,1630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,1630) = 1

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

GCF(49,1630) x common factors =1 x 1 = 1

LCM(49,1630) = ( 49 × 1630 ) / 1

LCM(49,1630) = 79870 / 1

LCM(49,1630) = 79870


Lets's calculate GCF of 576,8168

2 576, 8168
2 288, 4084
2 144, 2042
72, 1021

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79870/8

Therefore the LCM of Fractions 49/576,1630/8168 is 79870/8

Greatest Common Factor of 576,8168 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,8168 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 8168

List of positive integer factors of 8168 that divides 8168 without a remainder.

1,2,4,8,1021,2042,4084,8168

Greatest Common Factor

We found the factors 576,8168 . The biggest common factor number is the GCF number.
So the greatest common factor 576,8168 is 8.


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 49/576, 1630/8168

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 49/576, 1630/8168?

Answer: LCM of Numerators as per given numbers 49/576, 1630/8168 is

LCM of Numerators i.e. for 49,1630 is 79870

GCF of denominators i.e. for 576,8168 is 8.

Thus, LCM of Fractions is 79870/8.Finally, LCM of Fractions for 49/576, 1630/8168 is 79870/8.