Least Common Multiple of 5435/994, 9540/7345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5435/994, 9540/7345 quickly i.e. 10369980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5435/994, 9540/7345 is 10369980.

LCM(5435/994, 9540/7345) = 10369980

LCM of 5435/994, 9540/7345

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 5435/994,9540/7345

Given numbers are 5435/994,9540/7345

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 5435,9540

Least Common Multiple of Numerators i.e. LCM of 5435,9540 is 10369980.

GCF of Denominators means GCF of 994,7345 as per the given fractions.

GCF of 994,7345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5435,9540

LCM of Fractions 5435/994,9540/7345 is 10369980

5 5435, 9540
1087, 1908

∴ So the LCM of the given numbers is 5 x 1087 x 1908 = 10369980

Least Common Multiple of 5435,9540 with GCF Formula

Least Common Multiple of 5435,9540 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 5435,9540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5435,9540) = 5

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

GCF(5435,9540) x common factors =5 x 1 = 5

LCM(5435,9540) = ( 5435 × 9540 ) / 5

LCM(5435,9540) = 51849900 / 5

LCM(5435,9540) = 10369980


Lets's calculate GCF of 994,7345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10369980/1

Therefore the LCM of Fractions 5435/994,9540/7345 is 10369980

Greatest Common Factor of 994,7345 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,7345 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 7345

List of positive integer factors of 7345 that divides 7345 without a remainder.

1,5,13,65,113,565,1469,7345

Greatest Common Factor

We found the factors 994,7345 . The biggest common factor number is the GCF number.
So the greatest common factor 994,7345 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5435/994, 9540/7345

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 5435/994, 9540/7345?

Answer: LCM of Numerators as per given numbers 5435/994, 9540/7345 is

LCM of Numerators i.e. for 5435,9540 is 10369980

GCF of denominators i.e. for 994,7345 is 1.

Thus, LCM of Fractions is 10369980.Finally, LCM of Fractions for 5435/994, 9540/7345 is 10369980.