Given numbers are 742,564,917,801,750

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

The LCM of 742,564,917,801,750 is 914840923500.

Find LCM of 742,564,917,801,750 with Prime Factorization

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

2 x 3 x 7 x 53 x 94 x 131 x 267 x 125 = 914840923500

Therefore, the lowest common multiple of 742,564,917,801,750 is 914840923500.

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.

742 x 564 x 917 x 801 x 750 = 230539912722000

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

917 : 1, 7, 131, 917

801 : 1, 3, 9, 89, 267, 801

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 742,564,917,801,750, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

564:2x 2x 3x 47

917:7x 131

801:3x 3x 89

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 2x 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 230539912722000/(1x252)

LCM = 230539912722000/252

LCM = 914840923500

Thus, we can understand that the LCM of 742,564,917,801,750 is 914840923500.

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

• LCM of 426, 892, 191, 296, 471
• LCM of 818, 524, 121, 601, 137
• LCM of 778, 280, 331, 423, 511
• LCM of 901, 328, 936, 916, 898
• LCM of 780, 639, 608, 711, 404

1. What is the LCM of 742, 564, 917, 801, 750?

Answer: LCM of 742, 564, 917, 801, 750 is 914840923500.

2. How to calculate the LCM of 742, 564, 917, 801, 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 742, 564, 917, 801, 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}.