Given numbers are 732,107,345,364,270

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

The LCM of 732,107,345,364,270 is 7376945940.

Find LCM of 732,107,345,364,270 with Prime Factorization

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

2 x 2 x 3 x 5 x 61 x 107 x 23 x 91 x 9 = 7376945940

Therefore, the lowest common multiple of 732,107,345,364,270 is 7376945940.

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.

732 x 107 x 345 x 364 x 270 = 2655700538400

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.

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

107 : 1, 107

345 : 1, 3, 5, 15, 23, 69, 115, 345

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,107,345,364,270, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

107:107

345:3x 5x 23

364:2x 2x 7x 13

270:2x 3x 3x 3x 5

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 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 2655700538400/(1x360)

LCM = 2655700538400/360

LCM = 7376945940

Thus, we can understand that the LCM of 732,107,345,364,270 is 7376945940.

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

• LCM of 626, 894, 810, 368, 870
• LCM of 782, 449, 282, 514, 707
• LCM of 965, 927, 141, 104, 994
• LCM of 543, 306, 331, 943, 982
• LCM of 112, 761, 619, 332, 856

1. What is the LCM of 732, 107, 345, 364, 270?

Answer: LCM of 732, 107, 345, 364, 270 is 7376945940.

2. How to calculate the LCM of 732, 107, 345, 364, 270?

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 732, 107, 345, 364, 270.

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}.