Least Common Multiple of 514/510, 119/416, 834/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/510, 119/416, 834/678 quickly i.e. 12753111 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/510, 119/416, 834/678 is 12753111.

LCM(514/510, 119/416, 834/678) = 12753111

LCM of 514/510, 119/416, 834/678

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 514/510,119/416,834/678

Given numbers are 514/510,119/416,834/678

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 514,119,834

Least Common Multiple of Numerators i.e. LCM of 514,119,834 is 25506222.

GCF of Denominators means GCF of 510,416,678 as per the given fractions.

GCF of 510,416,678 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,119,834

LCM of Fractions 514/510,119/416,834/678 is 12753111

2 514, 119, 834
257, 119, 417

∴ So the LCM of the given numbers is 2 x 257 x 119 x 417 = 25506222

Least Common Multiple of 514,119,834 with GCF Formula

Least Common Multiple of 514,119,834 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 514,119,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,119,834) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(514,119,834) x common factors =1 x 2 = 2

LCM(514,119,834) = ( 514 × 119 × 834 ) / 2

LCM(514,119,834) = 51012444 / 2

LCM(514,119,834) = 25506222


Lets's calculate GCF of 510,416,678

2 510, 416, 678
255, 208, 339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25506222/2

Therefore the LCM of Fractions 514/510,119/416,834/678 is 12753111

Greatest Common Factor of 510,416,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,416,678 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 510,416,678 . The biggest common factor number is the GCF number.
So the greatest common factor 510,416,678 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 514/510, 119/416, 834/678

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 514/510, 119/416, 834/678?

Answer: LCM of Numerators as per given numbers 514/510, 119/416, 834/678 is

LCM of Numerators i.e. for 514,119,834 is 25506222

GCF of denominators i.e. for 510,416,678 is 2.

Thus, LCM of Fractions is 12753111.Finally, LCM of Fractions for 514/510, 119/416, 834/678 is 12753111.