Least Common Multiple of 51/997, 80/358, 513/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/997, 80/358, 513/114 quickly i.e. 697680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/997, 80/358, 513/114 is 697680.

LCM(51/997, 80/358, 513/114) = 697680

LCM of 51/997, 80/358, 513/114

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 51/997,80/358,513/114

Given numbers are 51/997,80/358,513/114

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 51,80,513

Least Common Multiple of Numerators i.e. LCM of 51,80,513 is 697680.

GCF of Denominators means GCF of 997,358,114 as per the given fractions.

GCF of 997,358,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,80,513

LCM of Fractions 51/997,80/358,513/114 is 697680

3 51, 80, 513
17, 80, 171

∴ So the LCM of the given numbers is 3 x 17 x 80 x 171 = 697680

Least Common Multiple of 51,80,513 with GCF Formula

Least Common Multiple of 51,80,513 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 51,80,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,80,513) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,80,513) x common factors =1 x 3 = 3

LCM(51,80,513) = ( 51 × 80 × 513 ) / 3

LCM(51,80,513) = 2093040 / 3

LCM(51,80,513) = 697680


Lets's calculate GCF of 997,358,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 697680/1

Therefore the LCM of Fractions 51/997,80/358,513/114 is 697680

Greatest Common Factor of 997,358,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,358,114 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 997,358,114 . The biggest common factor number is the GCF number.
So the greatest common factor 997,358,114 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 51/997, 80/358, 513/114

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 51/997, 80/358, 513/114?

Answer: LCM of Numerators as per given numbers 51/997, 80/358, 513/114 is

LCM of Numerators i.e. for 51,80,513 is 697680

GCF of denominators i.e. for 997,358,114 is 1.

Thus, LCM of Fractions is 697680.Finally, LCM of Fractions for 51/997, 80/358, 513/114 is 697680.