Given numbers are 949,742,698,220,974

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

The LCM of 949,742,698,220,974 is 13164888676940.

Find LCM of 949,742,698,220,974 with Prime Factorization

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

2 x 949 x 371 x 349 x 110 x 487 = 13164888676940

Therefore, the lowest common multiple of 949,742,698,220,974 is 13164888676940.

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.

949 x 742 x 698 x 220 x 974 = 105319109415520

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.

949 : 1, 13, 73, 949

742 : 1, 2, 7, 14, 53, 106, 371, 742

698 : 1, 2, 349, 698

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,742,698,220,974, is 1.

Now, the common factors can be found like this.

949:13x 73

742:2x 7x 53

698:2x 349

220:2x 2x 5x 11

974:2x 487

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 2 = 8

Therefore, the value for common factors is 8.

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 = 105319109415520/(1x8)

LCM = 105319109415520/8

LCM = 13164888676940

Thus, we can understand that the LCM of 949,742,698,220,974 is 13164888676940.

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

• LCM of 642, 661, 206, 651, 602
• LCM of 254, 677, 861, 136, 199
• LCM of 358, 360, 296, 653, 535
• LCM of 261, 908, 122, 547, 492
• LCM of 453, 892, 998, 229, 326

1. What is the LCM of 949, 742, 698, 220, 974?

Answer: LCM of 949, 742, 698, 220, 974 is 13164888676940.

2. How to calculate the LCM of 949, 742, 698, 220, 974?

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 949, 742, 698, 220, 974.

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}.