Given numbers are 709,326,368,920,949

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

The LCM of 709,326,368,920,949 is 201798472720.

Find LCM of 709,326,368,920,949 with Prime Factorization

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

2 x 2 x 2 x 23 x 709 x 163 x 2 x 5 x 949 = 201798472720

Therefore, the lowest common multiple of 709,326,368,920,949 is 201798472720.

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.

709 x 326 x 368 x 920 x 949 = 74261837960960

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.

709 : 1, 709

326 : 1, 2, 163, 326

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,326,368,920,949, is 1.

Now, the common factors can be found like this.

709:709

326:2x 163

368:2x 2x 2x 2x 23

920:2x 2x 2x 5x 23

949:13x 73

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 23 = 368

Therefore, the value for common factors is 368.

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 = 74261837960960/(1x368)

LCM = 74261837960960/368

LCM = 201798472720

Thus, we can understand that the LCM of 709,326,368,920,949 is 201798472720.

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

• LCM of 691, 333, 539, 193, 699
• LCM of 378, 897, 172, 810, 937
• LCM of 395, 616, 935, 403, 597
• LCM of 396, 776, 485, 180, 566
• LCM of 571, 923, 503, 339, 198

1. What is the LCM of 709, 326, 368, 920, 949?

Answer: LCM of 709, 326, 368, 920, 949 is 201798472720.

2. How to calculate the LCM of 709, 326, 368, 920, 949?

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 709, 326, 368, 920, 949.

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}.