Least Common Multiple of 7429/296, 8810/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7429/296, 8810/652 quickly i.e. 65449490/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7429/296, 8810/652 is 65449490/4.

LCM(7429/296, 8810/652) = 65449490/4

LCM of 7429/296, 8810/652

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 7429/296,8810/652

Given numbers are 7429/296,8810/652

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 7429,8810

Least Common Multiple of Numerators i.e. LCM of 7429,8810 is 65449490.

GCF of Denominators means GCF of 296,652 as per the given fractions.

GCF of 296,652 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7429,8810

LCM of Fractions 7429/296,8810/652 is 65449490/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 65449490

Least Common Multiple of 7429,8810 with GCF Formula

Least Common Multiple of 7429,8810 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 7429,8810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7429,8810) = 1

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

GCF(7429,8810) x common factors =1 x 1 = 1

LCM(7429,8810) = ( 7429 × 8810 ) / 1

LCM(7429,8810) = 65449490 / 1

LCM(7429,8810) = 65449490


Lets's calculate GCF of 296,652

2 296, 652
2 148, 326
74, 163

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65449490/4

Therefore the LCM of Fractions 7429/296,8810/652 is 65449490/4

Greatest Common Factor of 296,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,652 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 296,652 . The biggest common factor number is the GCF number.
So the greatest common factor 296,652 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 7429/296, 8810/652

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 7429/296, 8810/652?

Answer: LCM of Numerators as per given numbers 7429/296, 8810/652 is

LCM of Numerators i.e. for 7429,8810 is 65449490

GCF of denominators i.e. for 296,652 is 4.

Thus, LCM of Fractions is 65449490/4.Finally, LCM of Fractions for 7429/296, 8810/652 is 65449490/4.