Given numbers are 972,335,863,991,688

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

The LCM of 972,335,863,991,688 is 47898726747120.

Find LCM of 972,335,863,991,688 with Prime Factorization

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

2 x 2 x 243 x 335 x 863 x 991 x 172 = 47898726747120

Therefore, the lowest common multiple of 972,335,863,991,688 is 47898726747120.

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.

972 x 335 x 863 x 991 x 688 = 191594906988480

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.

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

335 : 1, 5, 67, 335

863 : 1, 863

991 : 1, 991

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,335,863,991,688, is 1.

Now, the common factors can be found like this.

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

335:5x 67

863:863

991:991

688:2x 2x 2x 2x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 191594906988480/(1x4)

LCM = 191594906988480/4

LCM = 47898726747120

Thus, we can understand that the LCM of 972,335,863,991,688 is 47898726747120.

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

• LCM of 512, 136, 977, 408, 982
• LCM of 133, 633, 547, 513, 340
• LCM of 947, 543, 536, 181, 624
• LCM of 131, 736, 214, 602, 358
• LCM of 100, 109, 138, 898, 273

1. What is the LCM of 972, 335, 863, 991, 688?

Answer: LCM of 972, 335, 863, 991, 688 is 47898726747120.

2. How to calculate the LCM of 972, 335, 863, 991, 688?

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 972, 335, 863, 991, 688.

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}.