Least Common Multiple of 4520/734, 7789/9925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4520/734, 7789/9925 quickly i.e. 35206280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4520/734, 7789/9925 is 35206280.

LCM(4520/734, 7789/9925) = 35206280

LCM of 4520/734, 7789/9925

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 4520/734,7789/9925

Given numbers are 4520/734,7789/9925

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 4520,7789

Least Common Multiple of Numerators i.e. LCM of 4520,7789 is 35206280.

GCF of Denominators means GCF of 734,9925 as per the given fractions.

GCF of 734,9925 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4520,7789

LCM of Fractions 4520/734,7789/9925 is 35206280

Given numbers has no common factors except 1. So, there LCM is their product i.e 35206280

Least Common Multiple of 4520,7789 with GCF Formula

Least Common Multiple of 4520,7789 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 4520,7789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4520,7789) = 1

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

GCF(4520,7789) x common factors =1 x 1 = 1

LCM(4520,7789) = ( 4520 × 7789 ) / 1

LCM(4520,7789) = 35206280 / 1

LCM(4520,7789) = 35206280


Lets's calculate GCF of 734,9925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35206280/1

Therefore the LCM of Fractions 4520/734,7789/9925 is 35206280

Greatest Common Factor of 734,9925 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,9925 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 9925

List of positive integer factors of 9925 that divides 9925 without a remainder.

1,5,25,397,1985,9925

Greatest Common Factor

We found the factors 734,9925 . The biggest common factor number is the GCF number.
So the greatest common factor 734,9925 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4520/734, 7789/9925

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 4520/734, 7789/9925?

Answer: LCM of Numerators as per given numbers 4520/734, 7789/9925 is

LCM of Numerators i.e. for 4520,7789 is 35206280

GCF of denominators i.e. for 734,9925 is 1.

Thus, LCM of Fractions is 35206280.Finally, LCM of Fractions for 4520/734, 7789/9925 is 35206280.