Least Common Multiple of 61/732, 42/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/732, 42/606 quickly i.e. 427 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/732, 42/606 is 427.

LCM(61/732, 42/606) = 427

LCM of 61/732, 42/606

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 61/732,42/606

Given numbers are 61/732,42/606

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 61,42

Least Common Multiple of Numerators i.e. LCM of 61,42 is 2562.

GCF of Denominators means GCF of 732,606 as per the given fractions.

GCF of 732,606 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,42

LCM of Fractions 61/732,42/606 is 427

Given numbers has no common factors except 1. So, there LCM is their product i.e 2562

Least Common Multiple of 61,42 with GCF Formula

Least Common Multiple of 61,42 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 61,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,42) = 1

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

GCF(61,42) x common factors =1 x 1 = 1

LCM(61,42) = ( 61 × 42 ) / 1

LCM(61,42) = 2562 / 1

LCM(61,42) = 2562


Lets's calculate GCF of 732,606

2 732, 606
3 366, 303
122, 101

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2562/6

Therefore the LCM of Fractions 61/732,42/606 is 427

Greatest Common Factor of 732,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,606 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 732,606 . The biggest common factor number is the GCF number.
So the greatest common factor 732,606 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/732, 42/606

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 61/732, 42/606?

Answer: LCM of Numerators as per given numbers 61/732, 42/606 is

LCM of Numerators i.e. for 61,42 is 2562

GCF of denominators i.e. for 732,606 is 6.

Thus, LCM of Fractions is 427.Finally, LCM of Fractions for 61/732, 42/606 is 427.