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LCM of 834, 649, 472, 614

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 834, 649, 472, 614 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 834, 649, 472, 614. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 834,649,472,614

Given numbers are 834,649,472,614

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 834,649,472,614 is 664674648.

Find LCM of 834,649,472,614 with Prime Factorization


2 834, 649, 472, 614
59 417, 649, 236, 307
417, 11, 4, 307

Multiply the prime numbers at the bottom and the left side.

2 x 59 x 417 x 11 x 4 x 307 = 664674648

Therefore, the lowest common multiple of 834,649,472,614 is 664674648.

LCM Formula to Find Lowest Common Multiple of 834,649,472,614

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

834 x 649 x 472 x 614 = 156863216928

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

834 : 1, 2, 3, 6, 139, 278, 417, 834

649 : 1, 11, 59, 649

472 : 1, 2, 4, 8, 59, 118, 236, 472

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,649,472,614, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

649:11x 59

472:2x 2x 2x 59

614:2x 307

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 59 = 236

Therefore, the value for common factors is 236.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 156863216928/(1x236)

LCM = 156863216928/236

LCM = 664674648

Thus, we can understand that the LCM of 834,649,472,614 is 664674648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 834, 649, 472, 614

1. What is the LCM of 834, 649, 472, 614?

Answer: LCM of 834, 649, 472, 614 is 664674648.

2. How to calculate the LCM of 834, 649, 472, 614?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 834, 649, 472, 614.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.