Least Common Multiple of 462/74, 933/10, 753/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/74, 933/10, 753/958 quickly i.e. 18032091 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/74, 933/10, 753/958 is 18032091.

LCM(462/74, 933/10, 753/958) = 18032091

LCM of 462/74, 933/10, 753/958

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 462/74,933/10,753/958

Given numbers are 462/74,933/10,753/958

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 462,933,753

Least Common Multiple of Numerators i.e. LCM of 462,933,753 is 36064182.

GCF of Denominators means GCF of 74,10,958 as per the given fractions.

GCF of 74,10,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,933,753

LCM of Fractions 462/74,933/10,753/958 is 18032091

3 462, 933, 753
154, 311, 251

∴ So the LCM of the given numbers is 3 x 154 x 311 x 251 = 36064182

Least Common Multiple of 462,933,753 with GCF Formula

Least Common Multiple of 462,933,753 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 462,933,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,933,753) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(462,933,753) x common factors =3 x 3 = 9

LCM(462,933,753) = ( 462 × 933 × 753 ) / 9

LCM(462,933,753) = 324577638 / 9

LCM(462,933,753) = 36064182


Lets's calculate GCF of 74,10,958

2 74, 10, 958
37, 5, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36064182/2

Therefore the LCM of Fractions 462/74,933/10,753/958 is 18032091

Greatest Common Factor of 74,10,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,10,958 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 74,10,958 . The biggest common factor number is the GCF number.
So the greatest common factor 74,10,958 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 462/74, 933/10, 753/958

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 462/74, 933/10, 753/958?

Answer: LCM of Numerators as per given numbers 462/74, 933/10, 753/958 is

LCM of Numerators i.e. for 462,933,753 is 36064182

GCF of denominators i.e. for 74,10,958 is 2.

Thus, LCM of Fractions is 18032091.Finally, LCM of Fractions for 462/74, 933/10, 753/958 is 18032091.