Least Common Multiple of 913/46, 216/1902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 913/46, 216/1902 quickly i.e. 98604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 913/46, 216/1902 is 98604.

LCM(913/46, 216/1902) = 98604

LCM of 913/46, 216/1902

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 913/46,216/1902

Given numbers are 913/46,216/1902

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 913,216

Least Common Multiple of Numerators i.e. LCM of 913,216 is 197208.

GCF of Denominators means GCF of 46,1902 as per the given fractions.

GCF of 46,1902 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 913,216

LCM of Fractions 913/46,216/1902 is 98604

Given numbers has no common factors except 1. So, there LCM is their product i.e 197208

Least Common Multiple of 913,216 with GCF Formula

Least Common Multiple of 913,216 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 913,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,216) = 1

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

GCF(913,216) x common factors =1 x 1 = 1

LCM(913,216) = ( 913 × 216 ) / 1

LCM(913,216) = 197208 / 1

LCM(913,216) = 197208


Lets's calculate GCF of 46,1902

2 46, 1902
23, 951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197208/2

Therefore the LCM of Fractions 913/46,216/1902 is 98604

Greatest Common Factor of 46,1902 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,1902 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 1902

List of positive integer factors of 1902 that divides 1902 without a remainder.

1,2,3,6,317,634,951,1902

Greatest Common Factor

We found the factors 46,1902 . The biggest common factor number is the GCF number.
So the greatest common factor 46,1902 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 913/46, 216/1902

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 913/46, 216/1902?

Answer: LCM of Numerators as per given numbers 913/46, 216/1902 is

LCM of Numerators i.e. for 913,216 is 197208

GCF of denominators i.e. for 46,1902 is 2.

Thus, LCM of Fractions is 98604.Finally, LCM of Fractions for 913/46, 216/1902 is 98604.