Given numbers are 234,357,690,972

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

The LCM of 234,357,690,972 is 172923660.

Find LCM of 234,357,690,972 with Prime Factorization

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

2 x 3 x 3 x 13 x 119 x 115 x 54 = 172923660

Therefore, the lowest common multiple of 234,357,690,972 is 172923660.

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.

234 x 357 x 690 x 972 = 56027265840

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

357 : 1, 3, 7, 17, 21, 51, 119, 357

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,357,690,972, is 3.

Now, the common factors can be found like this.

234:2x 3x 3x 13

357:3x 7x 17

690:2x 3x 5x 23

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

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 56027265840/(3x108)

LCM = 56027265840/324

LCM = 172923660

Thus, we can understand that the LCM of 234,357,690,972 is 172923660.

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

• LCM of 758, 779, 758, 634
• LCM of 534, 574, 787, 592
• LCM of 712, 979, 367, 600
• LCM of 199, 589, 506, 139
• LCM of 255, 844, 123, 111

1. What is the LCM of 234, 357, 690, 972?

Answer: LCM of 234, 357, 690, 972 is 172923660.

2. How to calculate the LCM of 234, 357, 690, 972?

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 234, 357, 690, 972.

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}.