Given numbers are 560,493,104,251,357

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

The LCM of 560,493,104,251,357 is 2702547120.

Find LCM of 560,493,104,251,357 with Prime Factorization

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

2 x 2 x 2 x 7 x 17 x 10 x 29 x 13 x 251 x 3 = 2702547120

Therefore, the lowest common multiple of 560,493,104,251,357 is 2702547120.

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.

560 x 493 x 104 x 251 x 357 = 2572824858240

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

493 : 1, 17, 29, 493

104 : 1, 2, 4, 8, 13, 26, 52, 104

251 : 1, 251

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,493,104,251,357, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

493:17x 29

104:2x 2x 2x 13

251:251

357:3x 7x 17

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 7x 17 = 952

Therefore, the value for common factors is 952.

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 = 2572824858240/(1x952)

LCM = 2572824858240/952

LCM = 2702547120

Thus, we can understand that the LCM of 560,493,104,251,357 is 2702547120.

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

• LCM of 560, 918, 867, 931, 462
• LCM of 865, 126, 626, 353, 871
• LCM of 696, 946, 179, 340, 116
• LCM of 415, 812, 565, 439, 606
• LCM of 754, 248, 804, 993, 881

1. What is the LCM of 560, 493, 104, 251, 357?

Answer: LCM of 560, 493, 104, 251, 357 is 2702547120.

2. How to calculate the LCM of 560, 493, 104, 251, 357?

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 560, 493, 104, 251, 357.

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}.