Given numbers are 949,201,224,586,480

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

The LCM of 949,201,224,586,480 is 62596191840.

Find LCM of 949,201,224,586,480 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 949 x 67 x 7 x 293 x 5 = 62596191840

Therefore, the lowest common multiple of 949,201,224,586,480 is 62596191840.

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 201 x 224 x 586 x 480 = 12018468833280

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

201 : 1, 3, 67, 201

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

586 : 1, 2, 293, 586

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,201,224,586,480, is 1.

Now, the common factors can be found like this.

949:13x 73

201:3x 67

224:2x 2x 2x 2x 2x 7

586:2x 293

480:2x 2x 2x 2x 2x 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 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 12018468833280/(1x192)

LCM = 12018468833280/192

LCM = 62596191840

Thus, we can understand that the LCM of 949,201,224,586,480 is 62596191840.

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

• LCM of 162, 271, 255, 524, 344
• LCM of 559, 490, 911, 838, 705
• LCM of 441, 557, 977, 869, 846
• LCM of 835, 905, 780, 362, 489
• LCM of 130, 738, 918, 117, 834

1. What is the LCM of 949, 201, 224, 586, 480?

Answer: LCM of 949, 201, 224, 586, 480 is 62596191840.

2. How to calculate the LCM of 949, 201, 224, 586, 480?

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, 201, 224, 586, 480.

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}.