Given numbers are 528,979,471,745,750

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

The LCM of 528,979,471,745,750 is 137410482000.

Find LCM of 528,979,471,745,750 with Prime Factorization

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

2 x 3 x 5 x 11 x 8 x 89 x 157 x 149 x 25 = 137410482000

Therefore, the lowest common multiple of 528,979,471,745,750 is 137410482000.

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.

528 x 979 x 471 x 745 x 750 = 136036377180000

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

979 : 1, 11, 89, 979

471 : 1, 3, 157, 471

745 : 1, 5, 149, 745

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,979,471,745,750, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

979:11x 89

471:3x 157

745:5x 149

750:2x 3x 5x 5x 5

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

2x 3x 3x 5x 11 = 990

Therefore, the value for common factors is 990.

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 = 136036377180000/(1x990)

LCM = 136036377180000/990

LCM = 137410482000

Thus, we can understand that the LCM of 528,979,471,745,750 is 137410482000.

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

• LCM of 250, 454, 534, 617, 628
• LCM of 492, 496, 344, 980, 416
• LCM of 745, 998, 269, 822, 813
• LCM of 785, 107, 740, 344, 282
• LCM of 256, 787, 933, 750, 773

1. What is the LCM of 528, 979, 471, 745, 750?

Answer: LCM of 528, 979, 471, 745, 750 is 137410482000.

2. How to calculate the LCM of 528, 979, 471, 745, 750?

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 528, 979, 471, 745, 750.

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}.