Given numbers are 750,706,548,742

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

The LCM of 750,706,548,742 is 26912896500.

Find LCM of 750,706,548,742 with Prime Factorization

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

2 x 375 x 353 x 274 x 371 = 26912896500

Therefore, the lowest common multiple of 750,706,548,742 is 26912896500.

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.

750 x 706 x 548 x 742 = 215303172000

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.

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

706 : 1, 2, 353, 706

548 : 1, 2, 4, 137, 274, 548

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,706,548,742, is 2.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

706:2x 353

548:2x 2x 137

742:2x 7x 53

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 = 215303172000/(2x4)

LCM = 215303172000/8

LCM = 26912896500

Thus, we can understand that the LCM of 750,706,548,742 is 26912896500.

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

• LCM of 437, 286, 654, 757
• LCM of 528, 982, 269, 802
• LCM of 564, 796, 914, 633
• LCM of 755, 568, 628, 367
• LCM of 706, 434, 701, 565

1. What is the LCM of 750, 706, 548, 742?

Answer: LCM of 750, 706, 548, 742 is 26912896500.

2. How to calculate the LCM of 750, 706, 548, 742?

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 750, 706, 548, 742.

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}.