Least Common Multiple of 451/463, 685/219, 398/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 451/463, 685/219, 398/988 quickly i.e. 122956130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 451/463, 685/219, 398/988 is 122956130.

LCM(451/463, 685/219, 398/988) = 122956130

LCM of 451/463, 685/219, 398/988

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 451/463,685/219,398/988

Given numbers are 451/463,685/219,398/988

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 451,685,398

Least Common Multiple of Numerators i.e. LCM of 451,685,398 is 122956130.

GCF of Denominators means GCF of 463,219,988 as per the given fractions.

GCF of 463,219,988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 451,685,398

LCM of Fractions 451/463,685/219,398/988 is 122956130

Given numbers has no common factors except 1. So, there LCM is their product i.e 122956130

Least Common Multiple of 451,685,398 with GCF Formula

Least Common Multiple of 451,685,398 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 451,685,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(451,685,398) = 1

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

GCF(451,685,398) x common factors =1 x 1 = 1

LCM(451,685,398) = ( 451 × 685 × 398 ) / 1

LCM(451,685,398) = 122956130 / 1

LCM(451,685,398) = 122956130


Lets's calculate GCF of 463,219,988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122956130/1

Therefore the LCM of Fractions 451/463,685/219,398/988 is 122956130

Greatest Common Factor of 463,219,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,219,988 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 463,219,988 . The biggest common factor number is the GCF number.
So the greatest common factor 463,219,988 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 451/463, 685/219, 398/988

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 451/463, 685/219, 398/988?

Answer: LCM of Numerators as per given numbers 451/463, 685/219, 398/988 is

LCM of Numerators i.e. for 451,685,398 is 122956130

GCF of denominators i.e. for 463,219,988 is 1.

Thus, LCM of Fractions is 122956130.Finally, LCM of Fractions for 451/463, 685/219, 398/988 is 122956130.