Least Common Multiple of 946/98, 599/65, 494/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 946/98, 599/65, 494/203 quickly i.e. 139963538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 946/98, 599/65, 494/203 is 139963538.

LCM(946/98, 599/65, 494/203) = 139963538

LCM of 946/98, 599/65, 494/203

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 946/98,599/65,494/203

Given numbers are 946/98,599/65,494/203

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 946,599,494

Least Common Multiple of Numerators i.e. LCM of 946,599,494 is 139963538.

GCF of Denominators means GCF of 98,65,203 as per the given fractions.

GCF of 98,65,203 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 946,599,494

LCM of Fractions 946/98,599/65,494/203 is 139963538

2 946, 599, 494
473, 599, 247

∴ So the LCM of the given numbers is 2 x 473 x 599 x 247 = 139963538

Least Common Multiple of 946,599,494 with GCF Formula

Least Common Multiple of 946,599,494 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 946,599,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,599,494) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(946,599,494) x common factors =1 x 2 = 2

LCM(946,599,494) = ( 946 × 599 × 494 ) / 2

LCM(946,599,494) = 279927076 / 2

LCM(946,599,494) = 139963538


Lets's calculate GCF of 98,65,203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139963538/1

Therefore the LCM of Fractions 946/98,599/65,494/203 is 139963538

Greatest Common Factor of 98,65,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,65,203 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 98,65,203 . The biggest common factor number is the GCF number.
So the greatest common factor 98,65,203 is 1.


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Frequently Asked Questions on Fractional LCM of 946/98, 599/65, 494/203

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 946/98, 599/65, 494/203?

Answer: LCM of Numerators as per given numbers 946/98, 599/65, 494/203 is

LCM of Numerators i.e. for 946,599,494 is 139963538

GCF of denominators i.e. for 98,65,203 is 1.

Thus, LCM of Fractions is 139963538.Finally, LCM of Fractions for 946/98, 599/65, 494/203 is 139963538.