Least Common Multiple of 7510/11, 3705/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7510/11, 3705/396 quickly i.e. 5564910/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7510/11, 3705/396 is 5564910/11.

LCM(7510/11, 3705/396) = 5564910/11

LCM of 7510/11, 3705/396

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 7510/11,3705/396

Given numbers are 7510/11,3705/396

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 7510,3705

Least Common Multiple of Numerators i.e. LCM of 7510,3705 is 5564910.

GCF of Denominators means GCF of 11,396 as per the given fractions.

GCF of 11,396 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7510,3705

LCM of Fractions 7510/11,3705/396 is 5564910/11

5 7510, 3705
1502, 741

∴ So the LCM of the given numbers is 5 x 1502 x 741 = 5564910

Least Common Multiple of 7510,3705 with GCF Formula

Least Common Multiple of 7510,3705 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 7510,3705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7510,3705) = 5

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

GCF(7510,3705) x common factors =5 x 1 = 5

LCM(7510,3705) = ( 7510 × 3705 ) / 5

LCM(7510,3705) = 27824550 / 5

LCM(7510,3705) = 5564910


Lets's calculate GCF of 11,396

11 11, 396
1, 36

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5564910/11

Therefore the LCM of Fractions 7510/11,3705/396 is 5564910/11

Greatest Common Factor of 11,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,396 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 11,396 . The biggest common factor number is the GCF number.
So the greatest common factor 11,396 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7510/11, 3705/396

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 7510/11, 3705/396?

Answer: LCM of Numerators as per given numbers 7510/11, 3705/396 is

LCM of Numerators i.e. for 7510,3705 is 5564910

GCF of denominators i.e. for 11,396 is 11.

Thus, LCM of Fractions is 5564910/11.Finally, LCM of Fractions for 7510/11, 3705/396 is 5564910/11.