Given numbers are 490,377,884,330,598

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

The LCM of 490,377,884,330,598 is 4767142380.

Find LCM of 490,377,884,330,598 with Prime Factorization

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

2 x 5 x 13 x 49 x 29 x 34 x 33 x 23 = 4767142380

Therefore, the lowest common multiple of 490,377,884,330,598 is 4767142380.

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 377 x 884 x 330 x 598 = 32225882488800

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

377 : 1, 13, 29, 377

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,377,884,330,598, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

377:13x 29

884:2x 2x 13x 17

330:2x 3x 5x 11

598:2x 13x 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 2x 5x 13x 13 = 6760

Therefore, the value for common factors is 6760.

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 = 32225882488800/(1x6760)

LCM = 32225882488800/6760

LCM = 4767142380

Thus, we can understand that the LCM of 490,377,884,330,598 is 4767142380.

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

• LCM of 976, 266, 111, 549, 556
• LCM of 927, 998, 776, 685, 732
• LCM of 633, 658, 314, 892, 699
• LCM of 295, 874, 701, 206, 685
• LCM of 147, 830, 531, 942, 592

1. What is the LCM of 490, 377, 884, 330, 598?

Answer: LCM of 490, 377, 884, 330, 598 is 4767142380.

2. How to calculate the LCM of 490, 377, 884, 330, 598?

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, 377, 884, 330, 598.

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}.