Least Common Multiple of 735/85, 8255/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/85, 8255/587 quickly i.e. 1213485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/85, 8255/587 is 1213485.

LCM(735/85, 8255/587) = 1213485

LCM of 735/85, 8255/587

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 735/85,8255/587

Given numbers are 735/85,8255/587

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 735,8255

Least Common Multiple of Numerators i.e. LCM of 735,8255 is 1213485.

GCF of Denominators means GCF of 85,587 as per the given fractions.

GCF of 85,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,8255

LCM of Fractions 735/85,8255/587 is 1213485

5 735, 8255
147, 1651

∴ So the LCM of the given numbers is 5 x 147 x 1651 = 1213485

Least Common Multiple of 735,8255 with GCF Formula

Least Common Multiple of 735,8255 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 735,8255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,8255) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(735,8255) x common factors =5 x 1 = 5

LCM(735,8255) = ( 735 × 8255 ) / 5

LCM(735,8255) = 6067425 / 5

LCM(735,8255) = 1213485


Lets's calculate GCF of 85,587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1213485/1

Therefore the LCM of Fractions 735/85,8255/587 is 1213485

Greatest Common Factor of 85,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,587 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 85,587 . The biggest common factor number is the GCF number.
So the greatest common factor 85,587 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 735/85, 8255/587

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 735/85, 8255/587?

Answer: LCM of Numerators as per given numbers 735/85, 8255/587 is

LCM of Numerators i.e. for 735,8255 is 1213485

GCF of denominators i.e. for 85,587 is 1.

Thus, LCM of Fractions is 1213485.Finally, LCM of Fractions for 735/85, 8255/587 is 1213485.