Least Common Multiple of 498/822, 520/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/822, 520/554 quickly i.e. 64740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/822, 520/554 is 64740.

LCM(498/822, 520/554) = 64740

LCM of 498/822, 520/554

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 498/822,520/554

Given numbers are 498/822,520/554

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 498,520

Least Common Multiple of Numerators i.e. LCM of 498,520 is 129480.

GCF of Denominators means GCF of 822,554 as per the given fractions.

GCF of 822,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,520

LCM of Fractions 498/822,520/554 is 64740

2 498, 520
249, 260

∴ So the LCM of the given numbers is 2 x 249 x 260 = 129480

Least Common Multiple of 498,520 with GCF Formula

Least Common Multiple of 498,520 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 498,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,520) = 2

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

GCF(498,520) x common factors =2 x 1 = 2

LCM(498,520) = ( 498 × 520 ) / 2

LCM(498,520) = 258960 / 2

LCM(498,520) = 129480


Lets's calculate GCF of 822,554

2 822, 554
411, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129480/2

Therefore the LCM of Fractions 498/822,520/554 is 64740

Greatest Common Factor of 822,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,554 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 822,554 . The biggest common factor number is the GCF number.
So the greatest common factor 822,554 is 2.


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 498/822, 520/554

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 498/822, 520/554?

Answer: LCM of Numerators as per given numbers 498/822, 520/554 is

LCM of Numerators i.e. for 498,520 is 129480

GCF of denominators i.e. for 822,554 is 2.

Thus, LCM of Fractions is 64740.Finally, LCM of Fractions for 498/822, 520/554 is 64740.