Given numbers are 354,624,972,402,661

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

The LCM of 354,624,972,402,661 is 132068085552.

Find LCM of 354,624,972,402,661 with Prime Factorization

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

2 x 2 x 3 x 59 x 52 x 81 x 67 x 661 = 132068085552

Therefore, the lowest common multiple of 354,624,972,402,661 is 132068085552.

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.

354 x 624 x 972 x 402 x 661 = 57053412958464

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,624,972,402,661, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

624:2x 2x 2x 2x 3x 13

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

402:2x 3x 67

661:661

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 57053412958464/(1x432)

LCM = 57053412958464/432

LCM = 132068085552

Thus, we can understand that the LCM of 354,624,972,402,661 is 132068085552.

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

• LCM of 768, 611, 273, 407, 141
• LCM of 151, 887, 644, 513, 899
• LCM of 582, 516, 256, 505, 922
• LCM of 319, 426, 815, 545, 745
• LCM of 924, 538, 217, 538, 123

1. What is the LCM of 354, 624, 972, 402, 661?

Answer: LCM of 354, 624, 972, 402, 661 is 132068085552.

2. How to calculate the LCM of 354, 624, 972, 402, 661?

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 354, 624, 972, 402, 661.

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}.