Least Common Multiple of 7/85, 62/510, 67/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/85, 62/510, 67/493 quickly i.e. 29078/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/85, 62/510, 67/493 is 29078/17.

LCM(7/85, 62/510, 67/493) = 29078/17

LCM of 7/85, 62/510, 67/493

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 7/85,62/510,67/493

Given numbers are 7/85,62/510,67/493

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 7,62,67

Least Common Multiple of Numerators i.e. LCM of 7,62,67 is 29078.

GCF of Denominators means GCF of 85,510,493 as per the given fractions.

GCF of 85,510,493 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,62,67

LCM of Fractions 7/85,62/510,67/493 is 29078/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 29078

Least Common Multiple of 7,62,67 with GCF Formula

Least Common Multiple of 7,62,67 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 7,62,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,62,67) = 1

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

GCF(7,62,67) x common factors =1 x 1 = 1

LCM(7,62,67) = ( 7 × 62 × 67 ) / 1

LCM(7,62,67) = 29078 / 1

LCM(7,62,67) = 29078


Lets's calculate GCF of 85,510,493

17 85, 510, 493
5, 30, 29

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29078/17

Therefore the LCM of Fractions 7/85,62/510,67/493 is 29078/17

Greatest Common Factor of 85,510,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,510,493 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 85,510,493 . The biggest common factor number is the GCF number.
So the greatest common factor 85,510,493 is 17.


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 7/85, 62/510, 67/493

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 7/85, 62/510, 67/493?

Answer: LCM of Numerators as per given numbers 7/85, 62/510, 67/493 is

LCM of Numerators i.e. for 7,62,67 is 29078

GCF of denominators i.e. for 85,510,493 is 17.

Thus, LCM of Fractions is 29078/17.Finally, LCM of Fractions for 7/85, 62/510, 67/493 is 29078/17.