Given numbers are 428,540,430,136,561

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

The LCM of 428,540,430,136,561 is 929217960.

Find LCM of 428,540,430,136,561 with Prime Factorization

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

2 x 2 x 3 x 5 x 17 x 107 x 9 x 43 x 2 x 11 = 929217960

Therefore, the lowest common multiple of 428,540,430,136,561 is 929217960.

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.

428 x 540 x 430 x 136 x 561 = 7582418553600

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.

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

430 : 1, 2, 5, 10, 43, 86, 215, 430

136 : 1, 2, 4, 8, 17, 34, 68, 136

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,540,430,136,561, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

540:2x 2x 3x 3x 3x 5

430:2x 5x 43

136:2x 2x 2x 17

561:3x 11x 17

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 5x 17 = 8160

Therefore, the value for common factors is 8160.

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 = 7582418553600/(1x8160)

LCM = 7582418553600/8160

LCM = 929217960

Thus, we can understand that the LCM of 428,540,430,136,561 is 929217960.

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

• LCM of 111, 815, 773, 268, 292
• LCM of 482, 466, 689, 145, 384
• LCM of 355, 260, 150, 747, 122
• LCM of 247, 955, 695, 933, 785
• LCM of 320, 883, 609, 199, 357

1. What is the LCM of 428, 540, 430, 136, 561?

Answer: LCM of 428, 540, 430, 136, 561 is 929217960.

2. How to calculate the LCM of 428, 540, 430, 136, 561?

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 428, 540, 430, 136, 561.

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}.