Given numbers are 490,169,362,570,770

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

The LCM of 490,169,362,570,770 is 9397858470.

Find LCM of 490,169,362,570,770 with Prime Factorization

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

2 x 5 x 7 x 7 x 169 x 181 x 57 x 11 = 9397858470

Therefore, the lowest common multiple of 490,169,362,570,770 is 9397858470.

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.

490 x 169 x 362 x 570 x 770 = 13157001858000

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

169 : 1, 13, 169

362 : 1, 2, 181, 362

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,169,362,570,770, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

169:13x 13

362:2x 181

570:2x 3x 5x 19

770:2x 5x 7x 11

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 7 = 1400

Therefore, the value for common factors is 1400.

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 = 13157001858000/(1x1400)

LCM = 13157001858000/1400

LCM = 9397858470

Thus, we can understand that the LCM of 490,169,362,570,770 is 9397858470.

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

• LCM of 438, 844, 798, 605, 175
• LCM of 600, 511, 271, 570, 217
• LCM of 952, 984, 297, 175, 720
• LCM of 660, 559, 321, 876, 188
• LCM of 591, 456, 562, 432, 696

1. What is the LCM of 490, 169, 362, 570, 770?

Answer: LCM of 490, 169, 362, 570, 770 is 9397858470.

2. How to calculate the LCM of 490, 169, 362, 570, 770?

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 490, 169, 362, 570, 770.

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}.