Least Common Multiple of 70/45, 32/84, 96/17, 86/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/45, 32/84, 96/17, 86/184 quickly i.e. 144480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/45, 32/84, 96/17, 86/184 is 144480.

LCM(70/45, 32/84, 96/17, 86/184) = 144480

LCM of 70/45, 32/84, 96/17, 86/184

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 70/45,32/84,96/17,86/184

Given numbers are 70/45,32/84,96/17,86/184

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 70,32,96,86

Least Common Multiple of Numerators i.e. LCM of 70,32,96,86 is 144480.

GCF of Denominators means GCF of 45,84,17,184 as per the given fractions.

GCF of 45,84,17,184 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,32,96,86

LCM of Fractions 70/45,32/84,96/17,86/184 is 144480

2 70, 32, 96, 86
2 35, 16, 48, 43
2 35, 8, 24, 43
2 35, 4, 12, 43
2 35, 2, 6, 43
35, 1, 3, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 35 x 1 x 3 x 43 = 144480

Least Common Multiple of 70,32,96,86 with GCF Formula

Least Common Multiple of 70,32,96,86 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 70,32,96,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,32,96,86) = 2

common factors(in case of two or more numbers have common factors) = 64

GCF(70,32,96,86) x common factors =2 x 64 = 128

LCM(70,32,96,86) = ( 70 × 32 × 96 × 86 ) / 128

LCM(70,32,96,86) = 18493440 / 128

LCM(70,32,96,86) = 144480


Lets's calculate GCF of 45,84,17,184

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144480/1

Therefore the LCM of Fractions 70/45,32/84,96/17,86/184 is 144480

Greatest Common Factor of 45,84,17,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,84,17,184 By Matching Biggest Common Factor Method

Factors of 45

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

1,3,5,9,15,45

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 45,84,17,184 . The biggest common factor number is the GCF number.
So the greatest common factor 45,84,17,184 is 1.


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 70/45, 32/84, 96/17, 86/184

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 70/45, 32/84, 96/17, 86/184?

Answer: LCM of Numerators as per given numbers 70/45, 32/84, 96/17, 86/184 is

LCM of Numerators i.e. for 70,32,96,86 is 144480

GCF of denominators i.e. for 45,84,17,184 is 1.

Thus, LCM of Fractions is 144480.Finally, LCM of Fractions for 70/45, 32/84, 96/17, 86/184 is 144480.