Given numbers are 698,748,564,713,764

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

The LCM of 698,748,564,713,764 is 5012669076756.

Find LCM of 698,748,564,713,764 with Prime Factorization

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

2 x 2 x 349 x 187 x 141 x 713 x 191 = 5012669076756

Therefore, the lowest common multiple of 698,748,564,713,764 is 5012669076756.

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.

698 x 748 x 564 x 713 x 764 = 160405410456192

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.

698 : 1, 2, 349, 698

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

713 : 1, 23, 31, 713

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,748,564,713,764, is 1.

Now, the common factors can be found like this.

698:2x 349

748:2x 2x 11x 17

564:2x 2x 3x 47

713:23x 31

764:2x 2x 191

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 160405410456192/(1x32)

LCM = 160405410456192/32

LCM = 5012669076756

Thus, we can understand that the LCM of 698,748,564,713,764 is 5012669076756.

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

• LCM of 955, 857, 647, 753, 927
• LCM of 646, 349, 617, 416, 718
• LCM of 887, 173, 469, 953, 243
• LCM of 339, 490, 866, 456, 989
• LCM of 784, 744, 559, 931, 754

1. What is the LCM of 698, 748, 564, 713, 764?

Answer: LCM of 698, 748, 564, 713, 764 is 5012669076756.

2. How to calculate the LCM of 698, 748, 564, 713, 764?

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 698, 748, 564, 713, 764.

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}.