Least Common Multiple of 498/414, 5561/7485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/414, 5561/7485 quickly i.e. 11122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/414, 5561/7485 is 11122.

LCM(498/414, 5561/7485) = 11122

LCM of 498/414, 5561/7485

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 498/414,5561/7485

Given numbers are 498/414,5561/7485

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 498,5561

Least Common Multiple of Numerators i.e. LCM of 498,5561 is 33366.

GCF of Denominators means GCF of 414,7485 as per the given fractions.

GCF of 414,7485 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,5561

LCM of Fractions 498/414,5561/7485 is 11122

83 498, 5561
6, 67

∴ So the LCM of the given numbers is 83 x 6 x 67 = 33366

Least Common Multiple of 498,5561 with GCF Formula

Least Common Multiple of 498,5561 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 498,5561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,5561) = 83

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

GCF(498,5561) x common factors =83 x 1 = 83

LCM(498,5561) = ( 498 × 5561 ) / 83

LCM(498,5561) = 2769378 / 83

LCM(498,5561) = 33366


Lets's calculate GCF of 414,7485

3 414, 7485
138, 2495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33366/3

Therefore the LCM of Fractions 498/414,5561/7485 is 11122

Greatest Common Factor of 414,7485 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,7485 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 7485

List of positive integer factors of 7485 that divides 7485 without a remainder.

1,3,5,15,499,1497,2495,7485

Greatest Common Factor

We found the factors 414,7485 . The biggest common factor number is the GCF number.
So the greatest common factor 414,7485 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 498/414, 5561/7485

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 498/414, 5561/7485?

Answer: LCM of Numerators as per given numbers 498/414, 5561/7485 is

LCM of Numerators i.e. for 498,5561 is 33366

GCF of denominators i.e. for 414,7485 is 3.

Thus, LCM of Fractions is 11122.Finally, LCM of Fractions for 498/414, 5561/7485 is 11122.