Least Common Multiple of 4700/522, 6335/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4700/522, 6335/869 quickly i.e. 5954900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4700/522, 6335/869 is 5954900.

LCM(4700/522, 6335/869) = 5954900

LCM of 4700/522, 6335/869

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 4700/522,6335/869

Given numbers are 4700/522,6335/869

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 4700,6335

Least Common Multiple of Numerators i.e. LCM of 4700,6335 is 5954900.

GCF of Denominators means GCF of 522,869 as per the given fractions.

GCF of 522,869 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4700,6335

LCM of Fractions 4700/522,6335/869 is 5954900

5 4700, 6335
940, 1267

∴ So the LCM of the given numbers is 5 x 940 x 1267 = 5954900

Least Common Multiple of 4700,6335 with GCF Formula

Least Common Multiple of 4700,6335 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 4700,6335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4700,6335) = 5

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

GCF(4700,6335) x common factors =5 x 1 = 5

LCM(4700,6335) = ( 4700 × 6335 ) / 5

LCM(4700,6335) = 29774500 / 5

LCM(4700,6335) = 5954900


Lets's calculate GCF of 522,869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5954900/1

Therefore the LCM of Fractions 4700/522,6335/869 is 5954900

Greatest Common Factor of 522,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,869 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 522,869 . The biggest common factor number is the GCF number.
So the greatest common factor 522,869 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4700/522, 6335/869

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 4700/522, 6335/869?

Answer: LCM of Numerators as per given numbers 4700/522, 6335/869 is

LCM of Numerators i.e. for 4700,6335 is 5954900

GCF of denominators i.e. for 522,869 is 1.

Thus, LCM of Fractions is 5954900.Finally, LCM of Fractions for 4700/522, 6335/869 is 5954900.