Given numbers are 770,143,260,570,706

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

The LCM of 770,143,260,570,706 is 402822420.

Find LCM of 770,143,260,570,706 with Prime Factorization

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

2 x 5 x 11 x 13 x 7 x 1 x 2 x 57 x 353 = 402822420

Therefore, the lowest common multiple of 770,143,260,570,706 is 402822420.

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.

770 x 143 x 260 x 570 x 706 = 11520721212000

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

143 : 1, 11, 13, 143

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,143,260,570,706, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

143:11x 13

260:2x 2x 5x 13

570:2x 3x 5x 19

706:2x 353

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 5x 5x 11x 13 = 28600

Therefore, the value for common factors is 28600.

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 = 11520721212000/(1x28600)

LCM = 11520721212000/28600

LCM = 402822420

Thus, we can understand that the LCM of 770,143,260,570,706 is 402822420.

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

• LCM of 687, 916, 349, 378, 487
• LCM of 285, 726, 175, 625, 607
• LCM of 117, 739, 367, 186, 144
• LCM of 826, 737, 967, 817, 632
• LCM of 114, 918, 581, 209, 180

1. What is the LCM of 770, 143, 260, 570, 706?

Answer: LCM of 770, 143, 260, 570, 706 is 402822420.

2. How to calculate the LCM of 770, 143, 260, 570, 706?

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 770, 143, 260, 570, 706.

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}.