Least Common Multiple of 40/210, 94/761, 817/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/210, 94/761, 817/618 quickly i.e. 1535960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/210, 94/761, 817/618 is 1535960.

LCM(40/210, 94/761, 817/618) = 1535960

LCM of 40/210, 94/761, 817/618

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 40/210,94/761,817/618

Given numbers are 40/210,94/761,817/618

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 40,94,817

Least Common Multiple of Numerators i.e. LCM of 40,94,817 is 1535960.

GCF of Denominators means GCF of 210,761,618 as per the given fractions.

GCF of 210,761,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,94,817

LCM of Fractions 40/210,94/761,817/618 is 1535960

2 40, 94, 817
20, 47, 817

∴ So the LCM of the given numbers is 2 x 20 x 47 x 817 = 1535960

Least Common Multiple of 40,94,817 with GCF Formula

Least Common Multiple of 40,94,817 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 40,94,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,94,817) = 1

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

GCF(40,94,817) x common factors =1 x 2 = 2

LCM(40,94,817) = ( 40 × 94 × 817 ) / 2

LCM(40,94,817) = 3071920 / 2

LCM(40,94,817) = 1535960


Lets's calculate GCF of 210,761,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1535960/1

Therefore the LCM of Fractions 40/210,94/761,817/618 is 1535960

Greatest Common Factor of 210,761,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,761,618 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 210,761,618 . The biggest common factor number is the GCF number.
So the greatest common factor 210,761,618 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 40/210, 94/761, 817/618

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 40/210, 94/761, 817/618?

Answer: LCM of Numerators as per given numbers 40/210, 94/761, 817/618 is

LCM of Numerators i.e. for 40,94,817 is 1535960

GCF of denominators i.e. for 210,761,618 is 1.

Thus, LCM of Fractions is 1535960.Finally, LCM of Fractions for 40/210, 94/761, 817/618 is 1535960.