Least Common Multiple of 533/826, 9435/3731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 533/826, 9435/3731 quickly i.e. 5028855/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 533/826, 9435/3731 is 5028855/7.

LCM(533/826, 9435/3731) = 5028855/7

LCM of 533/826, 9435/3731

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 533/826,9435/3731

Given numbers are 533/826,9435/3731

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 533,9435

Least Common Multiple of Numerators i.e. LCM of 533,9435 is 5028855.

GCF of Denominators means GCF of 826,3731 as per the given fractions.

GCF of 826,3731 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 533,9435

LCM of Fractions 533/826,9435/3731 is 5028855/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 5028855

Least Common Multiple of 533,9435 with GCF Formula

Least Common Multiple of 533,9435 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 533,9435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,9435) = 1

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

GCF(533,9435) x common factors =1 x 1 = 1

LCM(533,9435) = ( 533 × 9435 ) / 1

LCM(533,9435) = 5028855 / 1

LCM(533,9435) = 5028855


Lets's calculate GCF of 826,3731

7 826, 3731
118, 533

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5028855/7

Therefore the LCM of Fractions 533/826,9435/3731 is 5028855/7

Greatest Common Factor of 826,3731 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,3731 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 3731

List of positive integer factors of 3731 that divides 3731 without a remainder.

1,7,13,41,91,287,533,3731

Greatest Common Factor

We found the factors 826,3731 . The biggest common factor number is the GCF number.
So the greatest common factor 826,3731 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 533/826, 9435/3731

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 533/826, 9435/3731?

Answer: LCM of Numerators as per given numbers 533/826, 9435/3731 is

LCM of Numerators i.e. for 533,9435 is 5028855

GCF of denominators i.e. for 826,3731 is 7.

Thus, LCM of Fractions is 5028855/7.Finally, LCM of Fractions for 533/826, 9435/3731 is 5028855/7.