Least Common Multiple of 406/774, 3660/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 406/774, 3660/886 quickly i.e. 371490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 406/774, 3660/886 is 371490.

LCM(406/774, 3660/886) = 371490

LCM of 406/774, 3660/886

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 406/774,3660/886

Given numbers are 406/774,3660/886

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 406,3660

Least Common Multiple of Numerators i.e. LCM of 406,3660 is 742980.

GCF of Denominators means GCF of 774,886 as per the given fractions.

GCF of 774,886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 406,3660

LCM of Fractions 406/774,3660/886 is 371490

2 406, 3660
203, 1830

∴ So the LCM of the given numbers is 2 x 203 x 1830 = 742980

Least Common Multiple of 406,3660 with GCF Formula

Least Common Multiple of 406,3660 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 406,3660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,3660) = 2

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

GCF(406,3660) x common factors =2 x 1 = 2

LCM(406,3660) = ( 406 × 3660 ) / 2

LCM(406,3660) = 1485960 / 2

LCM(406,3660) = 742980


Lets's calculate GCF of 774,886

2 774, 886
387, 443

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 742980/2

Therefore the LCM of Fractions 406/774,3660/886 is 371490

Greatest Common Factor of 774,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,886 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 774,886 . The biggest common factor number is the GCF number.
So the greatest common factor 774,886 is 2.


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Frequently Asked Questions on Fractional LCM of 406/774, 3660/886

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 406/774, 3660/886?

Answer: LCM of Numerators as per given numbers 406/774, 3660/886 is

LCM of Numerators i.e. for 406,3660 is 742980

GCF of denominators i.e. for 774,886 is 2.

Thus, LCM of Fractions is 371490.Finally, LCM of Fractions for 406/774, 3660/886 is 371490.