Given numbers are 728,142,143,749,572

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

The LCM of 728,142,143,749,572 is 60836776.

Find LCM of 728,142,143,749,572 with Prime Factorization

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

2 x 2 x 7 x 11 x 13 x 2 x 71 x 1 x 107 x 1 = 60836776

Therefore, the lowest common multiple of 728,142,143,749,572 is 60836776.

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.

728 x 142 x 143 x 749 x 572 = 6333351728704

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

142 : 1, 2, 71, 142

143 : 1, 11, 13, 143

749 : 1, 7, 107, 749

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,142,143,749,572, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

142:2x 71

143:11x 13

749:7x 107

572:2x 2x 11x 13

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 7x 11x 13x 13 = 104104

Therefore, the value for common factors is 104104.

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 = 6333351728704/(1x104104)

LCM = 6333351728704/104104

LCM = 60836776

Thus, we can understand that the LCM of 728,142,143,749,572 is 60836776.

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

• LCM of 846, 564, 556, 615, 652
• LCM of 557, 161, 222, 969, 229
• LCM of 736, 934, 962, 838, 259
• LCM of 807, 448, 874, 818, 369
• LCM of 163, 361, 384, 415, 329

1. What is the LCM of 728, 142, 143, 749, 572?

Answer: LCM of 728, 142, 143, 749, 572 is 60836776.

2. How to calculate the LCM of 728, 142, 143, 749, 572?

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 728, 142, 143, 749, 572.

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}.