Least Common Multiple of 41/462, 3607/3654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/462, 3607/3654 quickly i.e. 147887/42 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/462, 3607/3654 is 147887/42.

LCM(41/462, 3607/3654) = 147887/42

LCM of 41/462, 3607/3654

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 41/462,3607/3654

Given numbers are 41/462,3607/3654

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 41,3607

Least Common Multiple of Numerators i.e. LCM of 41,3607 is 147887.

GCF of Denominators means GCF of 462,3654 as per the given fractions.

GCF of 462,3654 is 42 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,3607

LCM of Fractions 41/462,3607/3654 is 147887/42

Given numbers has no common factors except 1. So, there LCM is their product i.e 147887

Least Common Multiple of 41,3607 with GCF Formula

Least Common Multiple of 41,3607 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 41,3607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,3607) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(41,3607) x common factors =1 x 1 = 1

LCM(41,3607) = ( 41 × 3607 ) / 1

LCM(41,3607) = 147887 / 1

LCM(41,3607) = 147887


Lets's calculate GCF of 462,3654

2 462, 3654
3 231, 1827
7 77, 609
11, 87

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147887/42

Therefore the LCM of Fractions 41/462,3607/3654 is 147887/42

Greatest Common Factor of 462,3654 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,3654 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654

Greatest Common Factor

We found the factors 462,3654 . The biggest common factor number is the GCF number.
So the greatest common factor 462,3654 is 42.


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 41/462, 3607/3654

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 41/462, 3607/3654?

Answer: LCM of Numerators as per given numbers 41/462, 3607/3654 is

LCM of Numerators i.e. for 41,3607 is 147887

GCF of denominators i.e. for 462,3654 is 42.

Thus, LCM of Fractions is 147887/42.Finally, LCM of Fractions for 41/462, 3607/3654 is 147887/42.