Least Common Multiple of 965/510, 9627/3298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 965/510, 9627/3298 quickly i.e. 9290055/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 965/510, 9627/3298 is 9290055/34.

LCM(965/510, 9627/3298) = 9290055/34

LCM of 965/510, 9627/3298

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 965/510,9627/3298

Given numbers are 965/510,9627/3298

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 965,9627

Least Common Multiple of Numerators i.e. LCM of 965,9627 is 9290055.

GCF of Denominators means GCF of 510,3298 as per the given fractions.

GCF of 510,3298 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 965,9627

LCM of Fractions 965/510,9627/3298 is 9290055/34

Given numbers has no common factors except 1. So, there LCM is their product i.e 9290055

Least Common Multiple of 965,9627 with GCF Formula

Least Common Multiple of 965,9627 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 965,9627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,9627) = 1

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

GCF(965,9627) x common factors =1 x 1 = 1

LCM(965,9627) = ( 965 × 9627 ) / 1

LCM(965,9627) = 9290055 / 1

LCM(965,9627) = 9290055


Lets's calculate GCF of 510,3298

2 510, 3298
17 255, 1649
15, 97

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9290055/34

Therefore the LCM of Fractions 965/510,9627/3298 is 9290055/34

Greatest Common Factor of 510,3298 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,3298 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 3298

List of positive integer factors of 3298 that divides 3298 without a remainder.

1,2,17,34,97,194,1649,3298

Greatest Common Factor

We found the factors 510,3298 . The biggest common factor number is the GCF number.
So the greatest common factor 510,3298 is 34.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 965/510, 9627/3298

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 965/510, 9627/3298?

Answer: LCM of Numerators as per given numbers 965/510, 9627/3298 is

LCM of Numerators i.e. for 965,9627 is 9290055

GCF of denominators i.e. for 510,3298 is 34.

Thus, LCM of Fractions is 9290055/34.Finally, LCM of Fractions for 965/510, 9627/3298 is 9290055/34.