Given numbers are 900,260,290,540

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

The LCM of 900,260,290,540 is 1017900.

Find LCM of 900,260,290,540 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 5 x 13 x 29 x 3 = 1017900

Therefore, the lowest common multiple of 900,260,290,540 is 1017900.

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.

900 x 260 x 290 x 540 = 36644400000

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

290 : 1, 2, 5, 10, 29, 58, 145, 290

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

10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,260,290,540, is 10.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

260:2x 2x 5x 13

290:2x 5x 29

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

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 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 36644400000/(10x3600)

LCM = 36644400000/36000

LCM = 1017900

Thus, we can understand that the LCM of 900,260,290,540 is 1017900.

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

• LCM of 252, 836, 316, 719
• LCM of 316, 586, 657, 256
• LCM of 966, 447, 931, 977
• LCM of 631, 244, 881, 407
• LCM of 783, 864, 648, 594

1. What is the LCM of 900, 260, 290, 540?

Answer: LCM of 900, 260, 290, 540 is 1017900.

2. How to calculate the LCM of 900, 260, 290, 540?

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 900, 260, 290, 540.

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}.