Given numbers are 428,135,761,524

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

The LCM of 428,135,761,524 is 5760145980.

Find LCM of 428,135,761,524 with Prime Factorization

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

2 x 2 x 107 x 135 x 761 x 131 = 5760145980

Therefore, the lowest common multiple of 428,135,761,524 is 5760145980.

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 135 x 761 x 524 = 23040583920

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

761 : 1, 761

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,135,761,524, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

135:3x 3x 3x 5

761:761

524:2x 2x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 23040583920/(1x4)

LCM = 23040583920/4

LCM = 5760145980

Thus, we can understand that the LCM of 428,135,761,524 is 5760145980.

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

• LCM of 586, 973, 879, 127
• LCM of 213, 868, 386, 304
• LCM of 218, 897, 428, 538
• LCM of 248, 555, 991, 532
• LCM of 903, 379, 535, 404

1. What is the LCM of 428, 135, 761, 524?

Answer: LCM of 428, 135, 761, 524 is 5760145980.

2. How to calculate the LCM of 428, 135, 761, 524?

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, 135, 761, 524.

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}.