Given numbers are 540,570,490,690

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

The LCM of 540,570,490,690 is 11563020.

Find LCM of 540,570,490,690 with Prime Factorization

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

2 x 3 x 5 x 18 x 19 x 49 x 23 = 11563020

Therefore, the lowest common multiple of 540,570,490,690 is 11563020.

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.

540 x 570 x 490 x 690 = 104067180000

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,570,490,690, is 10.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

570:2x 3x 5x 19

490:2x 5x 7x 7

690:2x 3x 5x 23

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 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 104067180000/(10x900)

LCM = 104067180000/9000

LCM = 11563020

Thus, we can understand that the LCM of 540,570,490,690 is 11563020.

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

• LCM of 471, 653, 609, 155
• LCM of 153, 853, 845, 846
• LCM of 500, 786, 359, 484
• LCM of 175, 953, 939, 639
• LCM of 309, 639, 392, 644

1. What is the LCM of 540, 570, 490, 690?

Answer: LCM of 540, 570, 490, 690 is 11563020.

2. How to calculate the LCM of 540, 570, 490, 690?

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 540, 570, 490, 690.

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}.