Least Common Multiple of 67/75, 78/85, 30/45, 62/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/75, 78/85, 30/45, 62/385 quickly i.e. 162006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/75, 78/85, 30/45, 62/385 is 162006.

LCM(67/75, 78/85, 30/45, 62/385) = 162006

LCM of 67/75, 78/85, 30/45, 62/385

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 67/75,78/85,30/45,62/385

Given numbers are 67/75,78/85,30/45,62/385

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 67,78,30,62

Least Common Multiple of Numerators i.e. LCM of 67,78,30,62 is 810030.

GCF of Denominators means GCF of 75,85,45,385 as per the given fractions.

GCF of 75,85,45,385 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,78,30,62

LCM of Fractions 67/75,78/85,30/45,62/385 is 162006

2 67, 78, 30, 62
3 67, 39, 15, 31
67, 13, 5, 31

∴ So the LCM of the given numbers is 2 x 3 x 67 x 13 x 5 x 31 = 810030

Least Common Multiple of 67,78,30,62 with GCF Formula

Least Common Multiple of 67,78,30,62 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 67,78,30,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,78,30,62) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(67,78,30,62) x common factors =1 x 12 = 12

LCM(67,78,30,62) = ( 67 × 78 × 30 × 62 ) / 12

LCM(67,78,30,62) = 9720360 / 12

LCM(67,78,30,62) = 810030


Lets's calculate GCF of 75,85,45,385

5 75, 85, 45, 385
15, 17, 9, 77

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 810030/5

Therefore the LCM of Fractions 67/75,78/85,30/45,62/385 is 162006

Greatest Common Factor of 75,85,45,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,85,45,385 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 85

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

1,5,17,85

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 75,85,45,385 . The biggest common factor number is the GCF number.
So the greatest common factor 75,85,45,385 is 5.


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 67/75, 78/85, 30/45, 62/385

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 67/75, 78/85, 30/45, 62/385?

Answer: LCM of Numerators as per given numbers 67/75, 78/85, 30/45, 62/385 is

LCM of Numerators i.e. for 67,78,30,62 is 810030

GCF of denominators i.e. for 75,85,45,385 is 5.

Thus, LCM of Fractions is 162006.Finally, LCM of Fractions for 67/75, 78/85, 30/45, 62/385 is 162006.