Least Common Multiple of 851/45, 685/86, 461/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 851/45, 685/86, 461/705 quickly i.e. 268733035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 851/45, 685/86, 461/705 is 268733035.

LCM(851/45, 685/86, 461/705) = 268733035

LCM of 851/45, 685/86, 461/705

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 851/45,685/86,461/705

Given numbers are 851/45,685/86,461/705

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 851,685,461

Least Common Multiple of Numerators i.e. LCM of 851,685,461 is 268733035.

GCF of Denominators means GCF of 45,86,705 as per the given fractions.

GCF of 45,86,705 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 851,685,461

LCM of Fractions 851/45,685/86,461/705 is 268733035

Given numbers has no common factors except 1. So, there LCM is their product i.e 268733035

Least Common Multiple of 851,685,461 with GCF Formula

Least Common Multiple of 851,685,461 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 851,685,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,685,461) = 1

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

GCF(851,685,461) x common factors =1 x 1 = 1

LCM(851,685,461) = ( 851 × 685 × 461 ) / 1

LCM(851,685,461) = 268733035 / 1

LCM(851,685,461) = 268733035


Lets's calculate GCF of 45,86,705

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268733035/1

Therefore the LCM of Fractions 851/45,685/86,461/705 is 268733035

Greatest Common Factor of 45,86,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,86,705 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 705

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

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

Greatest Common Factor

We found the factors 45,86,705 . The biggest common factor number is the GCF number.
So the greatest common factor 45,86,705 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 851/45, 685/86, 461/705

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 851/45, 685/86, 461/705?

Answer: LCM of Numerators as per given numbers 851/45, 685/86, 461/705 is

LCM of Numerators i.e. for 851,685,461 is 268733035

GCF of denominators i.e. for 45,86,705 is 1.

Thus, LCM of Fractions is 268733035.Finally, LCM of Fractions for 851/45, 685/86, 461/705 is 268733035.