Given numbers are 561,214,648,154,902

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

The LCM of 561,214,648,154,902 is 3721193784.

Find LCM of 561,214,648,154,902 with Prime Factorization

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

2 x 3 x 11 x 17 x 107 x 108 x 7 x 41 = 3721193784

Therefore, the lowest common multiple of 561,214,648,154,902 is 3721193784.

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 214 x 648 x 154 x 902 = 10806346748736

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

214 : 1, 2, 107, 214

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

154 : 1, 2, 7, 11, 14, 22, 77, 154

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,214,648,154,902, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

214:2x 107

648:2x 2x 2x 3x 3x 3x 3

154:2x 7x 11

902:2x 11x 41

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 3x 11x 11 = 2904

Therefore, the value for common factors is 2904.

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 = 10806346748736/(1x2904)

LCM = 10806346748736/2904

LCM = 3721193784

Thus, we can understand that the LCM of 561,214,648,154,902 is 3721193784.

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

• LCM of 472, 352, 374, 443, 723
• LCM of 147, 820, 818, 583, 138
• LCM of 973, 870, 404, 638, 399
• LCM of 678, 465, 197, 977, 726
• LCM of 158, 893, 521, 329, 972

1. What is the LCM of 561, 214, 648, 154, 902?

Answer: LCM of 561, 214, 648, 154, 902 is 3721193784.

2. How to calculate the LCM of 561, 214, 648, 154, 902?

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, 214, 648, 154, 902.

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}.