Least Common Multiple of 407/334, 261/679, 687/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/334, 261/679, 687/120 quickly i.e. 24325983 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/334, 261/679, 687/120 is 24325983.

LCM(407/334, 261/679, 687/120) = 24325983

LCM of 407/334, 261/679, 687/120

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 407/334,261/679,687/120

Given numbers are 407/334,261/679,687/120

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 407,261,687

Least Common Multiple of Numerators i.e. LCM of 407,261,687 is 24325983.

GCF of Denominators means GCF of 334,679,120 as per the given fractions.

GCF of 334,679,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,261,687

LCM of Fractions 407/334,261/679,687/120 is 24325983

3 407, 261, 687
407, 87, 229

∴ So the LCM of the given numbers is 3 x 407 x 87 x 229 = 24325983

Least Common Multiple of 407,261,687 with GCF Formula

Least Common Multiple of 407,261,687 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 407,261,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,261,687) = 1

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

GCF(407,261,687) x common factors =1 x 3 = 3

LCM(407,261,687) = ( 407 × 261 × 687 ) / 3

LCM(407,261,687) = 72977949 / 3

LCM(407,261,687) = 24325983


Lets's calculate GCF of 334,679,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24325983/1

Therefore the LCM of Fractions 407/334,261/679,687/120 is 24325983

Greatest Common Factor of 334,679,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,679,120 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 334,679,120 . The biggest common factor number is the GCF number.
So the greatest common factor 334,679,120 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 407/334, 261/679, 687/120

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 407/334, 261/679, 687/120?

Answer: LCM of Numerators as per given numbers 407/334, 261/679, 687/120 is

LCM of Numerators i.e. for 407,261,687 is 24325983

GCF of denominators i.e. for 334,679,120 is 1.

Thus, LCM of Fractions is 24325983.Finally, LCM of Fractions for 407/334, 261/679, 687/120 is 24325983.