Least Common Multiple of 64/143, 614/65, 740/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/143, 614/65, 740/331 quickly i.e. 3634880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/143, 614/65, 740/331 is 3634880.

LCM(64/143, 614/65, 740/331) = 3634880

LCM of 64/143, 614/65, 740/331

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 64/143,614/65,740/331

Given numbers are 64/143,614/65,740/331

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 64,614,740

Least Common Multiple of Numerators i.e. LCM of 64,614,740 is 3634880.

GCF of Denominators means GCF of 143,65,331 as per the given fractions.

GCF of 143,65,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,614,740

LCM of Fractions 64/143,614/65,740/331 is 3634880

2 64, 614, 740
2 32, 307, 370
16, 307, 185

∴ So the LCM of the given numbers is 2 x 2 x 16 x 307 x 185 = 3634880

Least Common Multiple of 64,614,740 with GCF Formula

Least Common Multiple of 64,614,740 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 64,614,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,614,740) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(64,614,740) x common factors =2 x 4 = 8

LCM(64,614,740) = ( 64 × 614 × 740 ) / 8

LCM(64,614,740) = 29079040 / 8

LCM(64,614,740) = 3634880


Lets's calculate GCF of 143,65,331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3634880/1

Therefore the LCM of Fractions 64/143,614/65,740/331 is 3634880

Greatest Common Factor of 143,65,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,65,331 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 143,65,331 . The biggest common factor number is the GCF number.
So the greatest common factor 143,65,331 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 64/143, 614/65, 740/331

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 64/143, 614/65, 740/331?

Answer: LCM of Numerators as per given numbers 64/143, 614/65, 740/331 is

LCM of Numerators i.e. for 64,614,740 is 3634880

GCF of denominators i.e. for 143,65,331 is 1.

Thus, LCM of Fractions is 3634880.Finally, LCM of Fractions for 64/143, 614/65, 740/331 is 3634880.