Least Common Multiple of 3864/143, 5530/4969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3864/143, 5530/4969 quickly i.e. 1526280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3864/143, 5530/4969 is 1526280.

LCM(3864/143, 5530/4969) = 1526280

LCM of 3864/143, 5530/4969

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 3864/143,5530/4969

Given numbers are 3864/143,5530/4969

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 3864,5530

Least Common Multiple of Numerators i.e. LCM of 3864,5530 is 1526280.

GCF of Denominators means GCF of 143,4969 as per the given fractions.

GCF of 143,4969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3864,5530

LCM of Fractions 3864/143,5530/4969 is 1526280

2 3864, 5530
7 1932, 2765
276, 395

∴ So the LCM of the given numbers is 2 x 7 x 276 x 395 = 1526280

Least Common Multiple of 3864,5530 with GCF Formula

Least Common Multiple of 3864,5530 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 3864,5530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3864,5530) = 14

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

GCF(3864,5530) x common factors =14 x 1 = 14

LCM(3864,5530) = ( 3864 × 5530 ) / 14

LCM(3864,5530) = 21367920 / 14

LCM(3864,5530) = 1526280


Lets's calculate GCF of 143,4969

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1526280/1

Therefore the LCM of Fractions 3864/143,5530/4969 is 1526280

Greatest Common Factor of 143,4969 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,4969 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 4969

List of positive integer factors of 4969 that divides 4969 without a remainder.

1,4969

Greatest Common Factor

We found the factors 143,4969 . The biggest common factor number is the GCF number.
So the greatest common factor 143,4969 is 1.


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 3864/143, 5530/4969

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 3864/143, 5530/4969?

Answer: LCM of Numerators as per given numbers 3864/143, 5530/4969 is

LCM of Numerators i.e. for 3864,5530 is 1526280

GCF of denominators i.e. for 143,4969 is 1.

Thus, LCM of Fractions is 1526280.Finally, LCM of Fractions for 3864/143, 5530/4969 is 1526280.