Given numbers are 735,606,497,896,756

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

The LCM of 735,606,497,896,756 is 6071829120.

Find LCM of 735,606,497,896,756 with Prime Factorization

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

2 x 2 x 3 x 7 x 35 x 101 x 71 x 32 x 9 = 6071829120

Therefore, the lowest common multiple of 735,606,497,896,756 is 6071829120.

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.

735 x 606 x 497 x 896 x 756 = 149949891947520

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.

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

606 : 1, 2, 3, 6, 101, 202, 303, 606

497 : 1, 7, 71, 497

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,606,497,896,756, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

606:2x 3x 101

497:7x 71

896:2x 2x 2x 2x 2x 2x 2x 7

756:2x 2x 3x 3x 3x 7

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 2x 3x 3x 7x 7x 7 = 24696

Therefore, the value for common factors is 24696.

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 = 149949891947520/(1x24696)

LCM = 149949891947520/24696

LCM = 6071829120

Thus, we can understand that the LCM of 735,606,497,896,756 is 6071829120.

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

• LCM of 791, 179, 340, 482, 525
• LCM of 893, 544, 752, 700, 833
• LCM of 242, 670, 922, 124, 501
• LCM of 552, 401, 733, 803, 626
• LCM of 686, 263, 597, 532, 994

1. What is the LCM of 735, 606, 497, 896, 756?

Answer: LCM of 735, 606, 497, 896, 756 is 6071829120.

2. How to calculate the LCM of 735, 606, 497, 896, 756?

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 735, 606, 497, 896, 756.

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}.