Least Common Multiple of 984/551, 460/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 984/551, 460/434 quickly i.e. 113160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/551, 460/434 is 113160.

LCM(984/551, 460/434) = 113160

LCM of 984/551, 460/434

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 984/551,460/434

Given numbers are 984/551,460/434

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 984,460

Least Common Multiple of Numerators i.e. LCM of 984,460 is 113160.

GCF of Denominators means GCF of 551,434 as per the given fractions.

GCF of 551,434 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,460

LCM of Fractions 984/551,460/434 is 113160

2 984, 460
2 492, 230
246, 115

∴ So the LCM of the given numbers is 2 x 2 x 246 x 115 = 113160

Least Common Multiple of 984,460 with GCF Formula

Least Common Multiple of 984,460 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 984,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,460) = 4

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

GCF(984,460) x common factors =4 x 1 = 4

LCM(984,460) = ( 984 × 460 ) / 4

LCM(984,460) = 452640 / 4

LCM(984,460) = 113160


Lets's calculate GCF of 551,434

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113160/1

Therefore the LCM of Fractions 984/551,460/434 is 113160

Greatest Common Factor of 551,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,434 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 551,434 . The biggest common factor number is the GCF number.
So the greatest common factor 551,434 is 1.


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 984/551, 460/434

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 984/551, 460/434?

Answer: LCM of Numerators as per given numbers 984/551, 460/434 is

LCM of Numerators i.e. for 984,460 is 113160

GCF of denominators i.e. for 551,434 is 1.

Thus, LCM of Fractions is 113160.Finally, LCM of Fractions for 984/551, 460/434 is 113160.