Given numbers are 691,460,735,338

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

The LCM of 691,460,735,338 is 7896595980.

Find LCM of 691,460,735,338 with Prime Factorization

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

2 x 5 x 691 x 46 x 147 x 169 = 7896595980

Therefore, the lowest common multiple of 691,460,735,338 is 7896595980.

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.

691 x 460 x 735 x 338 = 78965959800

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.

691 : 1, 691

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,460,735,338, is 1.

Now, the common factors can be found like this.

691:691

460:2x 2x 5x 23

735:3x 5x 7x 7

338:2x 13x 13

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 78965959800/(1x10)

LCM = 78965959800/10

LCM = 7896595980

Thus, we can understand that the LCM of 691,460,735,338 is 7896595980.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 476, 851, 282, 943
• LCM of 173, 588, 231, 750
• LCM of 908, 572, 561, 847
• LCM of 861, 553, 395, 271
• LCM of 577, 746, 662, 117

1. What is the LCM of 691, 460, 735, 338?

Answer: LCM of 691, 460, 735, 338 is 7896595980.

2. How to calculate the LCM of 691, 460, 735, 338?

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 691, 460, 735, 338.

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}.