Least Common Multiple of 688/780, 345/382, 614/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/780, 345/382, 614/838 quickly i.e. 36434760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/780, 345/382, 614/838 is 36434760.

LCM(688/780, 345/382, 614/838) = 36434760

LCM of 688/780, 345/382, 614/838

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 688/780,345/382,614/838

Given numbers are 688/780,345/382,614/838

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 688,345,614

Least Common Multiple of Numerators i.e. LCM of 688,345,614 is 72869520.

GCF of Denominators means GCF of 780,382,838 as per the given fractions.

GCF of 780,382,838 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,345,614

LCM of Fractions 688/780,345/382,614/838 is 36434760

2 688, 345, 614
344, 345, 307

∴ So the LCM of the given numbers is 2 x 344 x 345 x 307 = 72869520

Least Common Multiple of 688,345,614 with GCF Formula

Least Common Multiple of 688,345,614 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 688,345,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,345,614) = 1

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

GCF(688,345,614) x common factors =1 x 2 = 2

LCM(688,345,614) = ( 688 × 345 × 614 ) / 2

LCM(688,345,614) = 145739040 / 2

LCM(688,345,614) = 72869520


Lets's calculate GCF of 780,382,838

2 780, 382, 838
390, 191, 419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72869520/2

Therefore the LCM of Fractions 688/780,345/382,614/838 is 36434760

Greatest Common Factor of 780,382,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,382,838 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 780,382,838 . The biggest common factor number is the GCF number.
So the greatest common factor 780,382,838 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 688/780, 345/382, 614/838

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 688/780, 345/382, 614/838?

Answer: LCM of Numerators as per given numbers 688/780, 345/382, 614/838 is

LCM of Numerators i.e. for 688,345,614 is 72869520

GCF of denominators i.e. for 780,382,838 is 2.

Thus, LCM of Fractions is 36434760.Finally, LCM of Fractions for 688/780, 345/382, 614/838 is 36434760.