Given numbers are 213,168,714,537,428

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

The LCM of 213,168,714,537,428 is 3883768728.

Find LCM of 213,168,714,537,428 with Prime Factorization

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

2 x 2 x 3 x 7 x 71 x 2 x 17 x 179 x 107 = 3883768728

Therefore, the lowest common multiple of 213,168,714,537,428 is 3883768728.

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.

213 x 168 x 714 x 537 x 428 = 5872258316736

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.

213 : 1, 3, 71, 213

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

537 : 1, 3, 179, 537

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,168,714,537,428, is 1.

Now, the common factors can be found like this.

213:3x 71

168:2x 2x 2x 3x 7

714:2x 3x 7x 17

537:3x 179

428:2x 2x 107

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 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 5872258316736/(1x1512)

LCM = 5872258316736/1512

LCM = 3883768728

Thus, we can understand that the LCM of 213,168,714,537,428 is 3883768728.

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

• LCM of 635, 355, 661, 411, 534
• LCM of 969, 636, 389, 981, 138
• LCM of 171, 726, 980, 210, 856
• LCM of 816, 417, 992, 512, 835
• LCM of 665, 216, 785, 647, 301

1. What is the LCM of 213, 168, 714, 537, 428?

Answer: LCM of 213, 168, 714, 537, 428 is 3883768728.

2. How to calculate the LCM of 213, 168, 714, 537, 428?

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 213, 168, 714, 537, 428.

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}.