Least Common Multiple of 962/53, 444/89, 463/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 962/53, 444/89, 463/727 quickly i.e. 2672436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 962/53, 444/89, 463/727 is 2672436.

LCM(962/53, 444/89, 463/727) = 2672436

LCM of 962/53, 444/89, 463/727

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 962/53,444/89,463/727

Given numbers are 962/53,444/89,463/727

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 962,444,463

Least Common Multiple of Numerators i.e. LCM of 962,444,463 is 2672436.

GCF of Denominators means GCF of 53,89,727 as per the given fractions.

GCF of 53,89,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 962,444,463

LCM of Fractions 962/53,444/89,463/727 is 2672436

2 962, 444, 463
37 481, 222, 463
13, 6, 463

∴ So the LCM of the given numbers is 2 x 37 x 13 x 6 x 463 = 2672436

Least Common Multiple of 962,444,463 with GCF Formula

Least Common Multiple of 962,444,463 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 962,444,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,444,463) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(962,444,463) x common factors =1 x 74 = 74

LCM(962,444,463) = ( 962 × 444 × 463 ) / 74

LCM(962,444,463) = 197760264 / 74

LCM(962,444,463) = 2672436


Lets's calculate GCF of 53,89,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2672436/1

Therefore the LCM of Fractions 962/53,444/89,463/727 is 2672436

Greatest Common Factor of 53,89,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,89,727 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 53,89,727 . The biggest common factor number is the GCF number.
So the greatest common factor 53,89,727 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 962/53, 444/89, 463/727

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 962/53, 444/89, 463/727?

Answer: LCM of Numerators as per given numbers 962/53, 444/89, 463/727 is

LCM of Numerators i.e. for 962,444,463 is 2672436

GCF of denominators i.e. for 53,89,727 is 1.

Thus, LCM of Fractions is 2672436.Finally, LCM of Fractions for 962/53, 444/89, 463/727 is 2672436.