Least Common Multiple of 4229/526, 4486/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4229/526, 4486/592 quickly i.e. 9485647 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4229/526, 4486/592 is 9485647.

LCM(4229/526, 4486/592) = 9485647

LCM of 4229/526, 4486/592

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 4229/526,4486/592

Given numbers are 4229/526,4486/592

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 4229,4486

Least Common Multiple of Numerators i.e. LCM of 4229,4486 is 18971294.

GCF of Denominators means GCF of 526,592 as per the given fractions.

GCF of 526,592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4229,4486

LCM of Fractions 4229/526,4486/592 is 9485647

Given numbers has no common factors except 1. So, there LCM is their product i.e 18971294

Least Common Multiple of 4229,4486 with GCF Formula

Least Common Multiple of 4229,4486 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 4229,4486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4229,4486) = 1

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

GCF(4229,4486) x common factors =1 x 1 = 1

LCM(4229,4486) = ( 4229 × 4486 ) / 1

LCM(4229,4486) = 18971294 / 1

LCM(4229,4486) = 18971294


Lets's calculate GCF of 526,592

2 526, 592
263, 296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18971294/2

Therefore the LCM of Fractions 4229/526,4486/592 is 9485647

Greatest Common Factor of 526,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,592 By Matching Biggest Common Factor Method

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 526,592 . The biggest common factor number is the GCF number.
So the greatest common factor 526,592 is 2.


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Frequently Asked Questions on Fractional LCM of 4229/526, 4486/592

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 4229/526, 4486/592?

Answer: LCM of Numerators as per given numbers 4229/526, 4486/592 is

LCM of Numerators i.e. for 4229,4486 is 18971294

GCF of denominators i.e. for 526,592 is 2.

Thus, LCM of Fractions is 9485647.Finally, LCM of Fractions for 4229/526, 4486/592 is 9485647.