Least Common Multiple of 43/42, 62/19, 81/65, 37/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/42, 62/19, 81/65, 37/677 quickly i.e. 7990002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/42, 62/19, 81/65, 37/677 is 7990002.

LCM(43/42, 62/19, 81/65, 37/677) = 7990002

LCM of 43/42, 62/19, 81/65, 37/677

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 43/42,62/19,81/65,37/677

Given numbers are 43/42,62/19,81/65,37/677

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 43,62,81,37

Least Common Multiple of Numerators i.e. LCM of 43,62,81,37 is 7990002.

GCF of Denominators means GCF of 42,19,65,677 as per the given fractions.

GCF of 42,19,65,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,62,81,37

LCM of Fractions 43/42,62/19,81/65,37/677 is 7990002

Given numbers has no common factors except 1. So, there LCM is their product i.e 7990002

Least Common Multiple of 43,62,81,37 with GCF Formula

Least Common Multiple of 43,62,81,37 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 43,62,81,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,62,81,37) = 1

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

GCF(43,62,81,37) x common factors =1 x 1 = 1

LCM(43,62,81,37) = ( 43 × 62 × 81 × 37 ) / 1

LCM(43,62,81,37) = 7990002 / 1

LCM(43,62,81,37) = 7990002


Lets's calculate GCF of 42,19,65,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7990002/1

Therefore the LCM of Fractions 43/42,62/19,81/65,37/677 is 7990002

Greatest Common Factor of 42,19,65,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,19,65,677 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 65

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

1,5,13,65

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 42,19,65,677 . The biggest common factor number is the GCF number.
So the greatest common factor 42,19,65,677 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 43/42, 62/19, 81/65, 37/677

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 43/42, 62/19, 81/65, 37/677?

Answer: LCM of Numerators as per given numbers 43/42, 62/19, 81/65, 37/677 is

LCM of Numerators i.e. for 43,62,81,37 is 7990002

GCF of denominators i.e. for 42,19,65,677 is 1.

Thus, LCM of Fractions is 7990002.Finally, LCM of Fractions for 43/42, 62/19, 81/65, 37/677 is 7990002.