Least Common Multiple of 3/40, 42/785, 13/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/40, 42/785, 13/614 quickly i.e. 546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/40, 42/785, 13/614 is 546.

LCM(3/40, 42/785, 13/614) = 546

LCM of 3/40, 42/785, 13/614

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 3/40,42/785,13/614

Given numbers are 3/40,42/785,13/614

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 3,42,13

Least Common Multiple of Numerators i.e. LCM of 3,42,13 is 546.

GCF of Denominators means GCF of 40,785,614 as per the given fractions.

GCF of 40,785,614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,42,13

LCM of Fractions 3/40,42/785,13/614 is 546

3 3, 42, 13
1, 14, 13

∴ So the LCM of the given numbers is 3 x 1 x 14 x 13 = 546

Least Common Multiple of 3,42,13 with GCF Formula

Least Common Multiple of 3,42,13 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 3,42,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,42,13) = 1

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

GCF(3,42,13) x common factors =1 x 3 = 3

LCM(3,42,13) = ( 3 × 42 × 13 ) / 3

LCM(3,42,13) = 1638 / 3

LCM(3,42,13) = 546


Lets's calculate GCF of 40,785,614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546/1

Therefore the LCM of Fractions 3/40,42/785,13/614 is 546

Greatest Common Factor of 40,785,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,785,614 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 40,785,614 . The biggest common factor number is the GCF number.
So the greatest common factor 40,785,614 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 3/40, 42/785, 13/614

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 3/40, 42/785, 13/614?

Answer: LCM of Numerators as per given numbers 3/40, 42/785, 13/614 is

LCM of Numerators i.e. for 3,42,13 is 546

GCF of denominators i.e. for 40,785,614 is 1.

Thus, LCM of Fractions is 546.Finally, LCM of Fractions for 3/40, 42/785, 13/614 is 546.