Least Common Multiple of 4865/700, 1447/6824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4865/700, 1447/6824 quickly i.e. 7039655/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4865/700, 1447/6824 is 7039655/4.

LCM(4865/700, 1447/6824) = 7039655/4

LCM of 4865/700, 1447/6824

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 4865/700,1447/6824

Given numbers are 4865/700,1447/6824

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 4865,1447

Least Common Multiple of Numerators i.e. LCM of 4865,1447 is 7039655.

GCF of Denominators means GCF of 700,6824 as per the given fractions.

GCF of 700,6824 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4865,1447

LCM of Fractions 4865/700,1447/6824 is 7039655/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 7039655

Least Common Multiple of 4865,1447 with GCF Formula

Least Common Multiple of 4865,1447 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 4865,1447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4865,1447) = 1

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

GCF(4865,1447) x common factors =1 x 1 = 1

LCM(4865,1447) = ( 4865 × 1447 ) / 1

LCM(4865,1447) = 7039655 / 1

LCM(4865,1447) = 7039655


Lets's calculate GCF of 700,6824

2 700, 6824
2 350, 3412
175, 1706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7039655/4

Therefore the LCM of Fractions 4865/700,1447/6824 is 7039655/4

Greatest Common Factor of 700,6824 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,6824 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 6824

List of positive integer factors of 6824 that divides 6824 without a remainder.

1,2,4,8,853,1706,3412,6824

Greatest Common Factor

We found the factors 700,6824 . The biggest common factor number is the GCF number.
So the greatest common factor 700,6824 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 4865/700, 1447/6824

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 4865/700, 1447/6824?

Answer: LCM of Numerators as per given numbers 4865/700, 1447/6824 is

LCM of Numerators i.e. for 4865,1447 is 7039655

GCF of denominators i.e. for 700,6824 is 4.

Thus, LCM of Fractions is 7039655/4.Finally, LCM of Fractions for 4865/700, 1447/6824 is 7039655/4.