Least Common Multiple of 836/614, 506/759, 363/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 836/614, 506/759, 363/780 quickly i.e. 634524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 836/614, 506/759, 363/780 is 634524.

LCM(836/614, 506/759, 363/780) = 634524

LCM of 836/614, 506/759, 363/780

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 836/614,506/759,363/780

Given numbers are 836/614,506/759,363/780

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 836,506,363

Least Common Multiple of Numerators i.e. LCM of 836,506,363 is 634524.

GCF of Denominators means GCF of 614,759,780 as per the given fractions.

GCF of 614,759,780 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 836,506,363

LCM of Fractions 836/614,506/759,363/780 is 634524

2 836, 506, 363
11 418, 253, 363
38, 23, 33

∴ So the LCM of the given numbers is 2 x 11 x 38 x 23 x 33 = 634524

Least Common Multiple of 836,506,363 with GCF Formula

Least Common Multiple of 836,506,363 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 836,506,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,506,363) = 11

common factors(in case of two or more numbers have common factors) = 22

GCF(836,506,363) x common factors =11 x 22 = 242

LCM(836,506,363) = ( 836 × 506 × 363 ) / 242

LCM(836,506,363) = 153554808 / 242

LCM(836,506,363) = 634524


Lets's calculate GCF of 614,759,780

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 634524/1

Therefore the LCM of Fractions 836/614,506/759,363/780 is 634524

Greatest Common Factor of 614,759,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,759,780 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

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

Greatest Common Factor

We found the factors 614,759,780 . The biggest common factor number is the GCF number.
So the greatest common factor 614,759,780 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 836/614, 506/759, 363/780

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 836/614, 506/759, 363/780?

Answer: LCM of Numerators as per given numbers 836/614, 506/759, 363/780 is

LCM of Numerators i.e. for 836,506,363 is 634524

GCF of denominators i.e. for 614,759,780 is 1.

Thus, LCM of Fractions is 634524.Finally, LCM of Fractions for 836/614, 506/759, 363/780 is 634524.