Given numbers are 490,691,352,900

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

The LCM of 490,691,352,900 is 2681632800.

Find LCM of 490,691,352,900 with Prime Factorization

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

2 x 2 x 5 x 49 x 691 x 88 x 45 = 2681632800

Therefore, the lowest common multiple of 490,691,352,900 is 2681632800.

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 691 x 352 x 900 = 107265312000

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

691 : 1, 691

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,691,352,900, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

691:691

352:2x 2x 2x 2x 2x 11

900:2x 2x 3x 3x 5x 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 5 = 40

Therefore, the value for common factors is 40.

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 = 107265312000/(1x40)

LCM = 107265312000/40

LCM = 2681632800

Thus, we can understand that the LCM of 490,691,352,900 is 2681632800.

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

• LCM of 993, 366, 747, 836
• LCM of 728, 947, 499, 493
• LCM of 462, 705, 146, 679
• LCM of 121, 276, 458, 363
• LCM of 358, 839, 353, 271

1. What is the LCM of 490, 691, 352, 900?

Answer: LCM of 490, 691, 352, 900 is 2681632800.

2. How to calculate the LCM of 490, 691, 352, 900?

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, 691, 352, 900.

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}.