Least Common Multiple of 493/99, 211/51, 416/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/99, 211/51, 416/762 quickly i.e. 43273568/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/99, 211/51, 416/762 is 43273568/3.

LCM(493/99, 211/51, 416/762) = 43273568/3

LCM of 493/99, 211/51, 416/762

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 493/99,211/51,416/762

Given numbers are 493/99,211/51,416/762

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 493,211,416

Least Common Multiple of Numerators i.e. LCM of 493,211,416 is 43273568.

GCF of Denominators means GCF of 99,51,762 as per the given fractions.

GCF of 99,51,762 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,211,416

LCM of Fractions 493/99,211/51,416/762 is 43273568/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 43273568

Least Common Multiple of 493,211,416 with GCF Formula

Least Common Multiple of 493,211,416 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 493,211,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,211,416) = 1

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

GCF(493,211,416) x common factors =1 x 1 = 1

LCM(493,211,416) = ( 493 × 211 × 416 ) / 1

LCM(493,211,416) = 43273568 / 1

LCM(493,211,416) = 43273568


Lets's calculate GCF of 99,51,762

3 99, 51, 762
33, 17, 254

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43273568/3

Therefore the LCM of Fractions 493/99,211/51,416/762 is 43273568/3

Greatest Common Factor of 99,51,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,51,762 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 99,51,762 . The biggest common factor number is the GCF number.
So the greatest common factor 99,51,762 is 3.


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 493/99, 211/51, 416/762

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 493/99, 211/51, 416/762?

Answer: LCM of Numerators as per given numbers 493/99, 211/51, 416/762 is

LCM of Numerators i.e. for 493,211,416 is 43273568

GCF of denominators i.e. for 99,51,762 is 3.

Thus, LCM of Fractions is 43273568/3.Finally, LCM of Fractions for 493/99, 211/51, 416/762 is 43273568/3.