Given numbers are 690,584,438,214,776

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

The LCM of 690,584,438,214,776 is 2091160920.

Find LCM of 690,584,438,214,776 with Prime Factorization

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

2 x 2 x 2 x 3 x 73 x 115 x 1 x 1 x 107 x 97 = 2091160920

Therefore, the lowest common multiple of 690,584,438,214,776 is 2091160920.

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.

690 x 584 x 438 x 214 x 776 = 29309711454720

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

584 : 1, 2, 4, 8, 73, 146, 292, 584

438 : 1, 2, 3, 6, 73, 146, 219, 438

214 : 1, 2, 107, 214

776 : 1, 2, 4, 8, 97, 194, 388, 776

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,584,438,214,776, is 2.

Now, the common factors can be found like this.

690:2x 3x 5x 23

584:2x 2x 2x 73

438:2x 3x 73

214:2x 107

776:2x 2x 2x 97

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 2x 3x 73 = 7008

Therefore, the value for common factors is 7008.

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 = 29309711454720/(2x7008)

LCM = 29309711454720/14016

LCM = 2091160920

Thus, we can understand that the LCM of 690,584,438,214,776 is 2091160920.

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

• LCM of 141, 933, 102, 172, 286
• LCM of 386, 559, 542, 981, 166
• LCM of 103, 711, 461, 957, 486
• LCM of 251, 135, 682, 918, 819
• LCM of 127, 573, 615, 158, 720

1. What is the LCM of 690, 584, 438, 214, 776?

Answer: LCM of 690, 584, 438, 214, 776 is 2091160920.

2. How to calculate the LCM of 690, 584, 438, 214, 776?

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 690, 584, 438, 214, 776.

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}.