Least Common Multiple of 87/858, 10/345, 704/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/858, 10/345, 704/773 quickly i.e. 306240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/858, 10/345, 704/773 is 306240.

LCM(87/858, 10/345, 704/773) = 306240

LCM of 87/858, 10/345, 704/773

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 87/858,10/345,704/773

Given numbers are 87/858,10/345,704/773

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 87,10,704

Least Common Multiple of Numerators i.e. LCM of 87,10,704 is 306240.

GCF of Denominators means GCF of 858,345,773 as per the given fractions.

GCF of 858,345,773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,10,704

LCM of Fractions 87/858,10/345,704/773 is 306240

2 87, 10, 704
87, 5, 352

∴ So the LCM of the given numbers is 2 x 87 x 5 x 352 = 306240

Least Common Multiple of 87,10,704 with GCF Formula

Least Common Multiple of 87,10,704 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 87,10,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,10,704) = 1

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

GCF(87,10,704) x common factors =1 x 2 = 2

LCM(87,10,704) = ( 87 × 10 × 704 ) / 2

LCM(87,10,704) = 612480 / 2

LCM(87,10,704) = 306240


Lets's calculate GCF of 858,345,773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306240/1

Therefore the LCM of Fractions 87/858,10/345,704/773 is 306240

Greatest Common Factor of 858,345,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,345,773 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 858,345,773 . The biggest common factor number is the GCF number.
So the greatest common factor 858,345,773 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 87/858, 10/345, 704/773

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 87/858, 10/345, 704/773?

Answer: LCM of Numerators as per given numbers 87/858, 10/345, 704/773 is

LCM of Numerators i.e. for 87,10,704 is 306240

GCF of denominators i.e. for 858,345,773 is 1.

Thus, LCM of Fractions is 306240.Finally, LCM of Fractions for 87/858, 10/345, 704/773 is 306240.