Least Common Multiple of 67/25, 84/75, 76/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/25, 84/75, 76/470 quickly i.e. 106932/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/25, 84/75, 76/470 is 106932/5.

LCM(67/25, 84/75, 76/470) = 106932/5

LCM of 67/25, 84/75, 76/470

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 67/25,84/75,76/470

Given numbers are 67/25,84/75,76/470

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 67,84,76

Least Common Multiple of Numerators i.e. LCM of 67,84,76 is 106932.

GCF of Denominators means GCF of 25,75,470 as per the given fractions.

GCF of 25,75,470 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,84,76

LCM of Fractions 67/25,84/75,76/470 is 106932/5

2 67, 84, 76
2 67, 42, 38
67, 21, 19

∴ So the LCM of the given numbers is 2 x 2 x 67 x 21 x 19 = 106932

Least Common Multiple of 67,84,76 with GCF Formula

Least Common Multiple of 67,84,76 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 67,84,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,84,76) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(67,84,76) x common factors =1 x 4 = 4

LCM(67,84,76) = ( 67 × 84 × 76 ) / 4

LCM(67,84,76) = 427728 / 4

LCM(67,84,76) = 106932


Lets's calculate GCF of 25,75,470

5 25, 75, 470
5, 15, 94

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106932/5

Therefore the LCM of Fractions 67/25,84/75,76/470 is 106932/5

Greatest Common Factor of 25,75,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,75,470 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 75

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

1,3,5,15,25,75

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 25,75,470 . The biggest common factor number is the GCF number.
So the greatest common factor 25,75,470 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 67/25, 84/75, 76/470

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 67/25, 84/75, 76/470?

Answer: LCM of Numerators as per given numbers 67/25, 84/75, 76/470 is

LCM of Numerators i.e. for 67,84,76 is 106932

GCF of denominators i.e. for 25,75,470 is 5.

Thus, LCM of Fractions is 106932/5.Finally, LCM of Fractions for 67/25, 84/75, 76/470 is 106932/5.