Given numbers are 561,700,428,272,202

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

The LCM of 561,700,428,272,202 is 16975635600.

Find LCM of 561,700,428,272,202 with Prime Factorization

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

2 x 2 x 17 x 33 x 175 x 107 x 4 x 101 = 16975635600

Therefore, the lowest common multiple of 561,700,428,272,202 is 16975635600.

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.

561 x 700 x 428 x 272 x 202 = 9234745766400

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

428 : 1, 2, 4, 107, 214, 428

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,700,428,272,202, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

700:2x 2x 5x 5x 7

428:2x 2x 107

272:2x 2x 2x 2x 17

202:2x 101

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 2x 17 = 544

Therefore, the value for common factors is 544.

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 = 9234745766400/(1x544)

LCM = 9234745766400/544

LCM = 16975635600

Thus, we can understand that the LCM of 561,700,428,272,202 is 16975635600.

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

• LCM of 935, 456, 941, 826, 772
• LCM of 567, 979, 536, 351, 622
• LCM of 914, 247, 585, 596, 278
• LCM of 874, 427, 866, 282, 828
• LCM of 312, 918, 975, 946, 674

1. What is the LCM of 561, 700, 428, 272, 202?

Answer: LCM of 561, 700, 428, 272, 202 is 16975635600.

2. How to calculate the LCM of 561, 700, 428, 272, 202?

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 561, 700, 428, 272, 202.

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}.