Given numbers are 735,916,169,221

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

The LCM of 735,916,169,221 is 1934275980.

Find LCM of 735,916,169,221 with Prime Factorization

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

13 x 735 x 916 x 13 x 17 = 1934275980

Therefore, the lowest common multiple of 735,916,169,221 is 1934275980.

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.

735 x 916 x 169 x 221 = 25145587740

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

916 : 1, 2, 4, 229, 458, 916

169 : 1, 13, 169

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,916,169,221, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

916:2x 2x 229

169:13x 13

221:13x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

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 = 25145587740/(1x13)

LCM = 25145587740/13

LCM = 1934275980

Thus, we can understand that the LCM of 735,916,169,221 is 1934275980.

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

• LCM of 256, 812, 830, 105
• LCM of 474, 301, 107, 890
• LCM of 280, 320, 915, 473
• LCM of 643, 936, 710, 831
• LCM of 850, 284, 186, 599

1. What is the LCM of 735, 916, 169, 221?

Answer: LCM of 735, 916, 169, 221 is 1934275980.

2. How to calculate the LCM of 735, 916, 169, 221?

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 735, 916, 169, 221.

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}.