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LCM of 834, 694, 922, 748

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


Find the LCM of 834, 694, 922, 748 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, 694, 922, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 834,694,922,748

Given numbers are 834,694,922,748

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

The LCM of 834,694,922,748 is 49896266772.

Find LCM of 834,694,922,748 with Prime Factorization


2 834, 694, 922, 748
417, 347, 461, 374

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

2 x 417 x 347 x 461 x 374 = 49896266772

Therefore, the lowest common multiple of 834,694,922,748 is 49896266772.

LCM Formula to Find Lowest Common Multiple of 834,694,922,748

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 694 x 922 x 748 = 399170134176

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

694 : 1, 2, 347, 694

922 : 1, 2, 461, 922

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,694,922,748, is 2.

Now, the common factors can be found like this.

834:2x 3x 139

694:2x 347

922:2x 461

748:2x 2x 11x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 399170134176/(2x4)

LCM = 399170134176/8

LCM = 49896266772

Thus, we can understand that the LCM of 834,694,922,748 is 49896266772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 834, 694, 922, 748

1. What is the LCM of 834, 694, 922, 748?

Answer: LCM of 834, 694, 922, 748 is 49896266772.

2. How to calculate the LCM of 834, 694, 922, 748?

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, 694, 922, 748.

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}.