Given numbers are 600,748,712,557,438

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

The LCM of 600,748,712,557,438 is 406032613800.

Find LCM of 600,748,712,557,438 with Prime Factorization

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

2 x 2 x 2 x 3 x 25 x 187 x 89 x 557 x 73 = 406032613800

Therefore, the lowest common multiple of 600,748,712,557,438 is 406032613800.

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.

600 x 748 x 712 x 557 x 438 = 77958261849600

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.

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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

712 : 1, 2, 4, 8, 89, 178, 356, 712

557 : 1, 557

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,748,712,557,438, is 1.

Now, the common factors can be found like this.

600:2x 2x 2x 3x 5x 5

748:2x 2x 11x 17

712:2x 2x 2x 89

557:557

438:2x 3x 73

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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 77958261849600/(1x192)

LCM = 77958261849600/192

LCM = 406032613800

Thus, we can understand that the LCM of 600,748,712,557,438 is 406032613800.

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

• LCM of 259, 122, 183, 964, 159
• LCM of 386, 469, 296, 159, 581
• LCM of 187, 625, 768, 462, 735
• LCM of 195, 453, 658, 543, 123
• LCM of 145, 817, 861, 787, 456

1. What is the LCM of 600, 748, 712, 557, 438?

Answer: LCM of 600, 748, 712, 557, 438 is 406032613800.

2. How to calculate the LCM of 600, 748, 712, 557, 438?

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 600, 748, 712, 557, 438.

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}.