Least Common Multiple of 498/672, 155/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/672, 155/180 quickly i.e. 77190/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/672, 155/180 is 77190/12.

LCM(498/672, 155/180) = 77190/12

LCM of 498/672, 155/180

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 498/672,155/180

Given numbers are 498/672,155/180

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 498,155

Least Common Multiple of Numerators i.e. LCM of 498,155 is 77190.

GCF of Denominators means GCF of 672,180 as per the given fractions.

GCF of 672,180 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,155

LCM of Fractions 498/672,155/180 is 77190/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 77190

Least Common Multiple of 498,155 with GCF Formula

Least Common Multiple of 498,155 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 498,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,155) = 1

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

GCF(498,155) x common factors =1 x 1 = 1

LCM(498,155) = ( 498 × 155 ) / 1

LCM(498,155) = 77190 / 1

LCM(498,155) = 77190


Lets's calculate GCF of 672,180

2 672, 180
2 336, 90
3 168, 45
56, 15

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77190/12

Therefore the LCM of Fractions 498/672,155/180 is 77190/12

Greatest Common Factor of 672,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,180 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 672,180 . The biggest common factor number is the GCF number.
So the greatest common factor 672,180 is 12.


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 498/672, 155/180

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 498/672, 155/180?

Answer: LCM of Numerators as per given numbers 498/672, 155/180 is

LCM of Numerators i.e. for 498,155 is 77190

GCF of denominators i.e. for 672,180 is 12.

Thus, LCM of Fractions is 77190/12.Finally, LCM of Fractions for 498/672, 155/180 is 77190/12.