Least Common Multiple of 32/115, 70/127, 169/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/115, 70/127, 169/430 quickly i.e. 189280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/115, 70/127, 169/430 is 189280.

LCM(32/115, 70/127, 169/430) = 189280

LCM of 32/115, 70/127, 169/430

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 32/115,70/127,169/430

Given numbers are 32/115,70/127,169/430

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 32,70,169

Least Common Multiple of Numerators i.e. LCM of 32,70,169 is 189280.

GCF of Denominators means GCF of 115,127,430 as per the given fractions.

GCF of 115,127,430 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,70,169

LCM of Fractions 32/115,70/127,169/430 is 189280

2 32, 70, 169
16, 35, 169

∴ So the LCM of the given numbers is 2 x 16 x 35 x 169 = 189280

Least Common Multiple of 32,70,169 with GCF Formula

Least Common Multiple of 32,70,169 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 32,70,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,70,169) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(32,70,169) x common factors =1 x 2 = 2

LCM(32,70,169) = ( 32 × 70 × 169 ) / 2

LCM(32,70,169) = 378560 / 2

LCM(32,70,169) = 189280


Lets's calculate GCF of 115,127,430

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189280/1

Therefore the LCM of Fractions 32/115,70/127,169/430 is 189280

Greatest Common Factor of 115,127,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,127,430 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 115,127,430 . The biggest common factor number is the GCF number.
So the greatest common factor 115,127,430 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 32/115, 70/127, 169/430

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 32/115, 70/127, 169/430?

Answer: LCM of Numerators as per given numbers 32/115, 70/127, 169/430 is

LCM of Numerators i.e. for 32,70,169 is 189280

GCF of denominators i.e. for 115,127,430 is 1.

Thus, LCM of Fractions is 189280.Finally, LCM of Fractions for 32/115, 70/127, 169/430 is 189280.