Least Common Multiple of 70/324, 26/173, 239/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/324, 26/173, 239/495 quickly i.e. 217490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/324, 26/173, 239/495 is 217490.

LCM(70/324, 26/173, 239/495) = 217490

LCM of 70/324, 26/173, 239/495

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 70/324,26/173,239/495

Given numbers are 70/324,26/173,239/495

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 70,26,239

Least Common Multiple of Numerators i.e. LCM of 70,26,239 is 217490.

GCF of Denominators means GCF of 324,173,495 as per the given fractions.

GCF of 324,173,495 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,26,239

LCM of Fractions 70/324,26/173,239/495 is 217490

2 70, 26, 239
35, 13, 239

∴ So the LCM of the given numbers is 2 x 35 x 13 x 239 = 217490

Least Common Multiple of 70,26,239 with GCF Formula

Least Common Multiple of 70,26,239 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 70,26,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,26,239) = 1

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

GCF(70,26,239) x common factors =1 x 2 = 2

LCM(70,26,239) = ( 70 × 26 × 239 ) / 2

LCM(70,26,239) = 434980 / 2

LCM(70,26,239) = 217490


Lets's calculate GCF of 324,173,495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217490/1

Therefore the LCM of Fractions 70/324,26/173,239/495 is 217490

Greatest Common Factor of 324,173,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,173,495 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 324,173,495 . The biggest common factor number is the GCF number.
So the greatest common factor 324,173,495 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/324, 26/173, 239/495

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 70/324, 26/173, 239/495?

Answer: LCM of Numerators as per given numbers 70/324, 26/173, 239/495 is

LCM of Numerators i.e. for 70,26,239 is 217490

GCF of denominators i.e. for 324,173,495 is 1.

Thus, LCM of Fractions is 217490.Finally, LCM of Fractions for 70/324, 26/173, 239/495 is 217490.