Given numbers are 900,879,421,669,980

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

The LCM of 900,879,421,669,980 is 1213090407900.

Find LCM of 900,879,421,669,980 with Prime Factorization

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

2 x 2 x 3 x 5 x 15 x 293 x 421 x 223 x 49 = 1213090407900

Therefore, the lowest common multiple of 900,879,421,669,980 is 1213090407900.

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 879 x 421 x 669 x 980 = 218356273422000

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

879 : 1, 3, 293, 879

421 : 1, 421

669 : 1, 3, 223, 669

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,879,421,669,980, is 1.

Now, the common factors can be found like this.

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

879:3x 293

421:421

669:3x 223

980:2x 2x 5x 7x 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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 218356273422000/(1x180)

LCM = 218356273422000/180

LCM = 1213090407900

Thus, we can understand that the LCM of 900,879,421,669,980 is 1213090407900.

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

• LCM of 540, 912, 401, 699, 601
• LCM of 440, 695, 987, 570, 423
• LCM of 262, 153, 130, 300, 142
• LCM of 990, 966, 949, 345, 209
• LCM of 979, 645, 478, 213, 306

1. What is the LCM of 900, 879, 421, 669, 980?

Answer: LCM of 900, 879, 421, 669, 980 is 1213090407900.

2. How to calculate the LCM of 900, 879, 421, 669, 980?

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, 879, 421, 669, 980.

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}.