Least Common Multiple of 5540/459, 5557/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5540/459, 5557/495 quickly i.e. 30785780/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5540/459, 5557/495 is 30785780/9.

LCM(5540/459, 5557/495) = 30785780/9

LCM of 5540/459, 5557/495

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 5540/459,5557/495

Given numbers are 5540/459,5557/495

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 5540,5557

Least Common Multiple of Numerators i.e. LCM of 5540,5557 is 30785780.

GCF of Denominators means GCF of 459,495 as per the given fractions.

GCF of 459,495 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5540,5557

LCM of Fractions 5540/459,5557/495 is 30785780/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 30785780

Least Common Multiple of 5540,5557 with GCF Formula

Least Common Multiple of 5540,5557 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 5540,5557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5540,5557) = 1

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

GCF(5540,5557) x common factors =1 x 1 = 1

LCM(5540,5557) = ( 5540 × 5557 ) / 1

LCM(5540,5557) = 30785780 / 1

LCM(5540,5557) = 30785780


Lets's calculate GCF of 459,495

3 459, 495
3 153, 165
51, 55

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30785780/9

Therefore the LCM of Fractions 5540/459,5557/495 is 30785780/9

Greatest Common Factor of 459,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,495 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 459,495 . The biggest common factor number is the GCF number.
So the greatest common factor 459,495 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5540/459, 5557/495

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 5540/459, 5557/495?

Answer: LCM of Numerators as per given numbers 5540/459, 5557/495 is

LCM of Numerators i.e. for 5540,5557 is 30785780

GCF of denominators i.e. for 459,495 is 9.

Thus, LCM of Fractions is 30785780/9.Finally, LCM of Fractions for 5540/459, 5557/495 is 30785780/9.