Least Common Multiple of 696/643, 325/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 696/643, 325/510 quickly i.e. 226200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/643, 325/510 is 226200.

LCM(696/643, 325/510) = 226200

LCM of 696/643, 325/510

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 696/643,325/510

Given numbers are 696/643,325/510

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 696,325

Least Common Multiple of Numerators i.e. LCM of 696,325 is 226200.

GCF of Denominators means GCF of 643,510 as per the given fractions.

GCF of 643,510 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,325

LCM of Fractions 696/643,325/510 is 226200

Given numbers has no common factors except 1. So, there LCM is their product i.e 226200

Least Common Multiple of 696,325 with GCF Formula

Least Common Multiple of 696,325 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 696,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,325) = 1

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

GCF(696,325) x common factors =1 x 1 = 1

LCM(696,325) = ( 696 × 325 ) / 1

LCM(696,325) = 226200 / 1

LCM(696,325) = 226200


Lets's calculate GCF of 643,510

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226200/1

Therefore the LCM of Fractions 696/643,325/510 is 226200

Greatest Common Factor of 643,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,510 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 643,510 . The biggest common factor number is the GCF number.
So the greatest common factor 643,510 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 696/643, 325/510

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 696/643, 325/510?

Answer: LCM of Numerators as per given numbers 696/643, 325/510 is

LCM of Numerators i.e. for 696,325 is 226200

GCF of denominators i.e. for 643,510 is 1.

Thus, LCM of Fractions is 226200.Finally, LCM of Fractions for 696/643, 325/510 is 226200.