Least Common Multiple of 8/74, 9/14, 5/62, 84/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/74, 9/14, 5/62, 84/162 quickly i.e. 1260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/74, 9/14, 5/62, 84/162 is 1260.

LCM(8/74, 9/14, 5/62, 84/162) = 1260

LCM of 8/74, 9/14, 5/62, 84/162

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 8/74,9/14,5/62,84/162

Given numbers are 8/74,9/14,5/62,84/162

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 8,9,5,84

Least Common Multiple of Numerators i.e. LCM of 8,9,5,84 is 2520.

GCF of Denominators means GCF of 74,14,62,162 as per the given fractions.

GCF of 74,14,62,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,9,5,84

LCM of Fractions 8/74,9/14,5/62,84/162 is 1260

2 8, 9, 5, 84
2 4, 9, 5, 42
3 2, 9, 5, 21
2, 3, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 3 x 5 x 7 = 2520

Least Common Multiple of 8,9,5,84 with GCF Formula

Least Common Multiple of 8,9,5,84 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 8,9,5,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,9,5,84) = 1

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

GCF(8,9,5,84) x common factors =1 x 12 = 12

LCM(8,9,5,84) = ( 8 × 9 × 5 × 84 ) / 12

LCM(8,9,5,84) = 30240 / 12

LCM(8,9,5,84) = 2520


Lets's calculate GCF of 74,14,62,162

2 74, 14, 62, 162
37, 7, 31, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2520/2

Therefore the LCM of Fractions 8/74,9/14,5/62,84/162 is 1260

Greatest Common Factor of 74,14,62,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,14,62,162 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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 74,14,62,162 . The biggest common factor number is the GCF number.
So the greatest common factor 74,14,62,162 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 8/74, 9/14, 5/62, 84/162

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 8/74, 9/14, 5/62, 84/162?

Answer: LCM of Numerators as per given numbers 8/74, 9/14, 5/62, 84/162 is

LCM of Numerators i.e. for 8,9,5,84 is 2520

GCF of denominators i.e. for 74,14,62,162 is 2.

Thus, LCM of Fractions is 1260.Finally, LCM of Fractions for 8/74, 9/14, 5/62, 84/162 is 1260.