Least Common Multiple of 310/451, 9663/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 310/451, 9663/364 quickly i.e. 2995530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/451, 9663/364 is 2995530.

LCM(310/451, 9663/364) = 2995530

LCM of 310/451, 9663/364

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 310/451,9663/364

Given numbers are 310/451,9663/364

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 310,9663

Least Common Multiple of Numerators i.e. LCM of 310,9663 is 2995530.

GCF of Denominators means GCF of 451,364 as per the given fractions.

GCF of 451,364 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,9663

LCM of Fractions 310/451,9663/364 is 2995530

Given numbers has no common factors except 1. So, there LCM is their product i.e 2995530

Least Common Multiple of 310,9663 with GCF Formula

Least Common Multiple of 310,9663 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 310,9663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,9663) = 1

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

GCF(310,9663) x common factors =1 x 1 = 1

LCM(310,9663) = ( 310 × 9663 ) / 1

LCM(310,9663) = 2995530 / 1

LCM(310,9663) = 2995530


Lets's calculate GCF of 451,364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2995530/1

Therefore the LCM of Fractions 310/451,9663/364 is 2995530

Greatest Common Factor of 451,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,364 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 451,364 . The biggest common factor number is the GCF number.
So the greatest common factor 451,364 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 310/451, 9663/364

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 310/451, 9663/364?

Answer: LCM of Numerators as per given numbers 310/451, 9663/364 is

LCM of Numerators i.e. for 310,9663 is 2995530

GCF of denominators i.e. for 451,364 is 1.

Thus, LCM of Fractions is 2995530.Finally, LCM of Fractions for 310/451, 9663/364 is 2995530.