Least Common Multiple of 88/73, 30/70, 88/95, 55/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/73, 30/70, 88/95, 55/161 quickly i.e. 1320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/73, 30/70, 88/95, 55/161 is 1320.

LCM(88/73, 30/70, 88/95, 55/161) = 1320

LCM of 88/73, 30/70, 88/95, 55/161

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 88/73,30/70,88/95,55/161

Given numbers are 88/73,30/70,88/95,55/161

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 88,30,88,55

Least Common Multiple of Numerators i.e. LCM of 88,30,88,55 is 1320.

GCF of Denominators means GCF of 73,70,95,161 as per the given fractions.

GCF of 73,70,95,161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,30,88,55

LCM of Fractions 88/73,30/70,88/95,55/161 is 1320

2 88, 30, 88, 55
2 44, 15, 44, 55
2 22, 15, 22, 55
5 11, 15, 11, 55
11 11, 3, 11, 11
1, 3, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 1 x 3 x 1 x 1 = 1320

Least Common Multiple of 88,30,88,55 with GCF Formula

Least Common Multiple of 88,30,88,55 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 88,30,88,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,30,88,55) = 1

common factors(in case of two or more numbers have common factors) = 9680

GCF(88,30,88,55) x common factors =1 x 9680 = 9680

LCM(88,30,88,55) = ( 88 × 30 × 88 × 55 ) / 9680

LCM(88,30,88,55) = 12777600 / 9680

LCM(88,30,88,55) = 1320


Lets's calculate GCF of 73,70,95,161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1320/1

Therefore the LCM of Fractions 88/73,30/70,88/95,55/161 is 1320

Greatest Common Factor of 73,70,95,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,70,95,161 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors 73,70,95,161 . The biggest common factor number is the GCF number.
So the greatest common factor 73,70,95,161 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 88/73, 30/70, 88/95, 55/161

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 88/73, 30/70, 88/95, 55/161?

Answer: LCM of Numerators as per given numbers 88/73, 30/70, 88/95, 55/161 is

LCM of Numerators i.e. for 88,30,88,55 is 1320

GCF of denominators i.e. for 73,70,95,161 is 1.

Thus, LCM of Fractions is 1320.Finally, LCM of Fractions for 88/73, 30/70, 88/95, 55/161 is 1320.