Least Common Multiple of 529/874, 844/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 529/874, 844/620 quickly i.e. 223238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 529/874, 844/620 is 223238.

LCM(529/874, 844/620) = 223238

LCM of 529/874, 844/620

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 529/874,844/620

Given numbers are 529/874,844/620

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 529,844

Least Common Multiple of Numerators i.e. LCM of 529,844 is 446476.

GCF of Denominators means GCF of 874,620 as per the given fractions.

GCF of 874,620 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 529,844

LCM of Fractions 529/874,844/620 is 223238

Given numbers has no common factors except 1. So, there LCM is their product i.e 446476

Least Common Multiple of 529,844 with GCF Formula

Least Common Multiple of 529,844 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 529,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,844) = 1

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

GCF(529,844) x common factors =1 x 1 = 1

LCM(529,844) = ( 529 × 844 ) / 1

LCM(529,844) = 446476 / 1

LCM(529,844) = 446476


Lets's calculate GCF of 874,620

2 874, 620
437, 310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 446476/2

Therefore the LCM of Fractions 529/874,844/620 is 223238

Greatest Common Factor of 874,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,620 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 874,620 . The biggest common factor number is the GCF number.
So the greatest common factor 874,620 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 529/874, 844/620

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 529/874, 844/620?

Answer: LCM of Numerators as per given numbers 529/874, 844/620 is

LCM of Numerators i.e. for 529,844 is 446476

GCF of denominators i.e. for 874,620 is 2.

Thus, LCM of Fractions is 223238.Finally, LCM of Fractions for 529/874, 844/620 is 223238.