Given numbers are 972,269,596,380,707

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

The LCM of 972,269,596,380,707 is 2616663234780.

Find LCM of 972,269,596,380,707 with Prime Factorization

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

2 x 2 x 243 x 269 x 149 x 95 x 707 = 2616663234780

Therefore, the lowest common multiple of 972,269,596,380,707 is 2616663234780.

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.

972 x 269 x 596 x 380 x 707 = 41866611756480

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

269 : 1, 269

596 : 1, 2, 4, 149, 298, 596

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,269,596,380,707, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

269:269

596:2x 2x 149

380:2x 2x 5x 19

707:7x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 41866611756480/(1x16)

LCM = 41866611756480/16

LCM = 2616663234780

Thus, we can understand that the LCM of 972,269,596,380,707 is 2616663234780.

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

• LCM of 163, 427, 475, 203, 645
• LCM of 816, 565, 591, 238, 761
• LCM of 272, 336, 877, 526, 768
• LCM of 845, 721, 803, 862, 401
• LCM of 825, 426, 234, 289, 684

1. What is the LCM of 972, 269, 596, 380, 707?

Answer: LCM of 972, 269, 596, 380, 707 is 2616663234780.

2. How to calculate the LCM of 972, 269, 596, 380, 707?

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 972, 269, 596, 380, 707.

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}.