Least Common Multiple of 87/705, 81/190, 795/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/705, 81/190, 795/378 quickly i.e. 622485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/705, 81/190, 795/378 is 622485.

LCM(87/705, 81/190, 795/378) = 622485

LCM of 87/705, 81/190, 795/378

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 87/705,81/190,795/378

Given numbers are 87/705,81/190,795/378

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 87,81,795

Least Common Multiple of Numerators i.e. LCM of 87,81,795 is 622485.

GCF of Denominators means GCF of 705,190,378 as per the given fractions.

GCF of 705,190,378 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,81,795

LCM of Fractions 87/705,81/190,795/378 is 622485

3 87, 81, 795
29, 27, 265

∴ So the LCM of the given numbers is 3 x 29 x 27 x 265 = 622485

Least Common Multiple of 87,81,795 with GCF Formula

Least Common Multiple of 87,81,795 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 87,81,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,81,795) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(87,81,795) x common factors =3 x 3 = 9

LCM(87,81,795) = ( 87 × 81 × 795 ) / 9

LCM(87,81,795) = 5602365 / 9

LCM(87,81,795) = 622485


Lets's calculate GCF of 705,190,378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 622485/1

Therefore the LCM of Fractions 87/705,81/190,795/378 is 622485

Greatest Common Factor of 705,190,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,190,378 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 705,190,378 . The biggest common factor number is the GCF number.
So the greatest common factor 705,190,378 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 87/705, 81/190, 795/378

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 87/705, 81/190, 795/378?

Answer: LCM of Numerators as per given numbers 87/705, 81/190, 795/378 is

LCM of Numerators i.e. for 87,81,795 is 622485

GCF of denominators i.e. for 705,190,378 is 1.

Thus, LCM of Fractions is 622485.Finally, LCM of Fractions for 87/705, 81/190, 795/378 is 622485.