Least Common Multiple of 95/496, 33/487, 705/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/496, 33/487, 705/270 quickly i.e. 147345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/496, 33/487, 705/270 is 147345.

LCM(95/496, 33/487, 705/270) = 147345

LCM of 95/496, 33/487, 705/270

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 95/496,33/487,705/270

Given numbers are 95/496,33/487,705/270

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 95,33,705

Least Common Multiple of Numerators i.e. LCM of 95,33,705 is 147345.

GCF of Denominators means GCF of 496,487,270 as per the given fractions.

GCF of 496,487,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,33,705

LCM of Fractions 95/496,33/487,705/270 is 147345

3 95, 33, 705
5 95, 11, 235
19, 11, 47

∴ So the LCM of the given numbers is 3 x 5 x 19 x 11 x 47 = 147345

Least Common Multiple of 95,33,705 with GCF Formula

Least Common Multiple of 95,33,705 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 95,33,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,33,705) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(95,33,705) x common factors =1 x 15 = 15

LCM(95,33,705) = ( 95 × 33 × 705 ) / 15

LCM(95,33,705) = 2210175 / 15

LCM(95,33,705) = 147345


Lets's calculate GCF of 496,487,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147345/1

Therefore the LCM of Fractions 95/496,33/487,705/270 is 147345

Greatest Common Factor of 496,487,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,487,270 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 496,487,270 . The biggest common factor number is the GCF number.
So the greatest common factor 496,487,270 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 95/496, 33/487, 705/270

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 95/496, 33/487, 705/270?

Answer: LCM of Numerators as per given numbers 95/496, 33/487, 705/270 is

LCM of Numerators i.e. for 95,33,705 is 147345

GCF of denominators i.e. for 496,487,270 is 1.

Thus, LCM of Fractions is 147345.Finally, LCM of Fractions for 95/496, 33/487, 705/270 is 147345.