Least Common Multiple of 493/64, 116/6050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/64, 116/6050 quickly i.e. 986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/64, 116/6050 is 986.

LCM(493/64, 116/6050) = 986

LCM of 493/64, 116/6050

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 493/64,116/6050

Given numbers are 493/64,116/6050

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 493,116

Least Common Multiple of Numerators i.e. LCM of 493,116 is 1972.

GCF of Denominators means GCF of 64,6050 as per the given fractions.

GCF of 64,6050 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,116

LCM of Fractions 493/64,116/6050 is 986

29 493, 116
17, 4

∴ So the LCM of the given numbers is 29 x 17 x 4 = 1972

Least Common Multiple of 493,116 with GCF Formula

Least Common Multiple of 493,116 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 493,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,116) = 29

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

GCF(493,116) x common factors =29 x 1 = 29

LCM(493,116) = ( 493 × 116 ) / 29

LCM(493,116) = 57188 / 29

LCM(493,116) = 1972


Lets's calculate GCF of 64,6050

2 64, 6050
32, 3025

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1972/2

Therefore the LCM of Fractions 493/64,116/6050 is 986

Greatest Common Factor of 64,6050 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,6050 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 6050

List of positive integer factors of 6050 that divides 6050 without a remainder.

1,2,5,10,11,22,25,50,55,110,121,242,275,550,605,1210,3025,6050

Greatest Common Factor

We found the factors 64,6050 . The biggest common factor number is the GCF number.
So the greatest common factor 64,6050 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 493/64, 116/6050

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 493/64, 116/6050?

Answer: LCM of Numerators as per given numbers 493/64, 116/6050 is

LCM of Numerators i.e. for 493,116 is 1972

GCF of denominators i.e. for 64,6050 is 2.

Thus, LCM of Fractions is 986.Finally, LCM of Fractions for 493/64, 116/6050 is 986.