Given numbers are 240,700,132,434,756

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

The LCM of 240,700,132,434,756 is 25779600.

Find LCM of 240,700,132,434,756 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 4 x 5 x 11 x 31 x 9 = 25779600

Therefore, the lowest common multiple of 240,700,132,434,756 is 25779600.

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.

240 x 700 x 132 x 434 x 756 = 7276034304000

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

434 : 1, 2, 7, 14, 31, 62, 217, 434

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,700,132,434,756, is 2.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

700:2x 2x 5x 5x 7

132:2x 2x 3x 11

434:2x 7x 31

756:2x 2x 3x 3x 3x 7

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 2x 2x 2x 3x 3x 5x 7x 7 = 141120

Therefore, the value for common factors is 141120.

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 = 7276034304000/(2x141120)

LCM = 7276034304000/282240

LCM = 25779600

Thus, we can understand that the LCM of 240,700,132,434,756 is 25779600.

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

• LCM of 281, 662, 289, 292, 150
• LCM of 699, 631, 729, 361, 413
• LCM of 586, 409, 641, 410, 619
• LCM of 599, 423, 846, 788, 114
• LCM of 274, 406, 752, 308, 204

1. What is the LCM of 240, 700, 132, 434, 756?

Answer: LCM of 240, 700, 132, 434, 756 is 25779600.

2. How to calculate the LCM of 240, 700, 132, 434, 756?

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 240, 700, 132, 434, 756.

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}.