Least Common Multiple of 293/994, 136/507, 100/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 293/994, 136/507, 100/266 quickly i.e. 996200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/994, 136/507, 100/266 is 996200.

LCM(293/994, 136/507, 100/266) = 996200

LCM of 293/994, 136/507, 100/266

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 293/994,136/507,100/266

Given numbers are 293/994,136/507,100/266

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 293,136,100

Least Common Multiple of Numerators i.e. LCM of 293,136,100 is 996200.

GCF of Denominators means GCF of 994,507,266 as per the given fractions.

GCF of 994,507,266 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,136,100

LCM of Fractions 293/994,136/507,100/266 is 996200

2 293, 136, 100
2 293, 68, 50
293, 34, 25

∴ So the LCM of the given numbers is 2 x 2 x 293 x 34 x 25 = 996200

Least Common Multiple of 293,136,100 with GCF Formula

Least Common Multiple of 293,136,100 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 293,136,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,136,100) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(293,136,100) x common factors =1 x 4 = 4

LCM(293,136,100) = ( 293 × 136 × 100 ) / 4

LCM(293,136,100) = 3984800 / 4

LCM(293,136,100) = 996200


Lets's calculate GCF of 994,507,266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 996200/1

Therefore the LCM of Fractions 293/994,136/507,100/266 is 996200

Greatest Common Factor of 994,507,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,507,266 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 994,507,266 . The biggest common factor number is the GCF number.
So the greatest common factor 994,507,266 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 293/994, 136/507, 100/266

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 293/994, 136/507, 100/266?

Answer: LCM of Numerators as per given numbers 293/994, 136/507, 100/266 is

LCM of Numerators i.e. for 293,136,100 is 996200

GCF of denominators i.e. for 994,507,266 is 1.

Thus, LCM of Fractions is 996200.Finally, LCM of Fractions for 293/994, 136/507, 100/266 is 996200.