Least Common Multiple of 86/380, 818/587, 740/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/380, 818/587, 740/141 quickly i.e. 13014380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/380, 818/587, 740/141 is 13014380.

LCM(86/380, 818/587, 740/141) = 13014380

LCM of 86/380, 818/587, 740/141

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 86/380,818/587,740/141

Given numbers are 86/380,818/587,740/141

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 86,818,740

Least Common Multiple of Numerators i.e. LCM of 86,818,740 is 13014380.

GCF of Denominators means GCF of 380,587,141 as per the given fractions.

GCF of 380,587,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,818,740

LCM of Fractions 86/380,818/587,740/141 is 13014380

2 86, 818, 740
43, 409, 370

∴ So the LCM of the given numbers is 2 x 43 x 409 x 370 = 13014380

Least Common Multiple of 86,818,740 with GCF Formula

Least Common Multiple of 86,818,740 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 86,818,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,818,740) = 2

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

GCF(86,818,740) x common factors =2 x 2 = 4

LCM(86,818,740) = ( 86 × 818 × 740 ) / 4

LCM(86,818,740) = 52057520 / 4

LCM(86,818,740) = 13014380


Lets's calculate GCF of 380,587,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13014380/1

Therefore the LCM of Fractions 86/380,818/587,740/141 is 13014380

Greatest Common Factor of 380,587,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,587,141 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 587

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

1,587

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 380,587,141 . The biggest common factor number is the GCF number.
So the greatest common factor 380,587,141 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 86/380, 818/587, 740/141

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 86/380, 818/587, 740/141?

Answer: LCM of Numerators as per given numbers 86/380, 818/587, 740/141 is

LCM of Numerators i.e. for 86,818,740 is 13014380

GCF of denominators i.e. for 380,587,141 is 1.

Thus, LCM of Fractions is 13014380.Finally, LCM of Fractions for 86/380, 818/587, 740/141 is 13014380.