Least Common Multiple of 532/66, 3463/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 532/66, 3463/120 quickly i.e. 1842316/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 532/66, 3463/120 is 1842316/6.

LCM(532/66, 3463/120) = 1842316/6

LCM of 532/66, 3463/120

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 532/66,3463/120

Given numbers are 532/66,3463/120

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 532,3463

Least Common Multiple of Numerators i.e. LCM of 532,3463 is 1842316.

GCF of Denominators means GCF of 66,120 as per the given fractions.

GCF of 66,120 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 532,3463

LCM of Fractions 532/66,3463/120 is 1842316/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 1842316

Least Common Multiple of 532,3463 with GCF Formula

Least Common Multiple of 532,3463 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 532,3463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,3463) = 1

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

GCF(532,3463) x common factors =1 x 1 = 1

LCM(532,3463) = ( 532 × 3463 ) / 1

LCM(532,3463) = 1842316 / 1

LCM(532,3463) = 1842316


Lets's calculate GCF of 66,120

2 66, 120
3 33, 60
11, 20

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1842316/6

Therefore the LCM of Fractions 532/66,3463/120 is 1842316/6

Greatest Common Factor of 66,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,120 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 66,120 . The biggest common factor number is the GCF number.
So the greatest common factor 66,120 is 6.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 532/66, 3463/120

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 532/66, 3463/120?

Answer: LCM of Numerators as per given numbers 532/66, 3463/120 is

LCM of Numerators i.e. for 532,3463 is 1842316

GCF of denominators i.e. for 66,120 is 6.

Thus, LCM of Fractions is 1842316/6.Finally, LCM of Fractions for 532/66, 3463/120 is 1842316/6.