Given numbers are 649,735,224,69

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

The LCM of 649,735,224,69 is 351083040.

Find LCM of 649,735,224,69 with Prime Factorization

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

3 x 7 x 649 x 35 x 32 x 23 = 351083040

Therefore, the lowest common multiple of 649,735,224,69 is 351083040.

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.

649 x 735 x 224 x 69 = 7372743840

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.

649 : 1, 11, 59, 649

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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

69 : 1, 3, 23, 69

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,735,224,69, is 1.

Now, the common factors can be found like this.

649:11x 59

735:3x 5x 7x 7

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

69:3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 7372743840/(1x21)

LCM = 7372743840/21

LCM = 351083040

Thus, we can understand that the LCM of 649,735,224,69 is 351083040.

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

• LCM of 153, 596, 377, 34
• LCM of 174, 166, 964, 87
• LCM of 192, 947, 275, 82
• LCM of 943, 726, 829, 21
• LCM of 451, 830, 582, 70

1. What is the LCM of 649, 735, 224, 69?

Answer: LCM of 649, 735, 224, 69 is 351083040.

2. How to calculate the LCM of 649, 735, 224, 69?

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 649, 735, 224, 69.

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}.