Given numbers are 992,107,497,972,644

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

The LCM of 992,107,497,972,644 is 294839691552.

Find LCM of 992,107,497,972,644 with Prime Factorization

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

2 x 2 x 7 x 248 x 107 x 71 x 243 x 23 = 294839691552

Therefore, the lowest common multiple of 992,107,497,972,644 is 294839691552.

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.

992 x 107 x 497 x 972 x 644 = 33022045453824

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.

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

107 : 1, 107

497 : 1, 7, 71, 497

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

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,107,497,972,644, is 1.

Now, the common factors can be found like this.

992:2x 2x 2x 2x 2x 31

107:107

497:7x 71

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

644:2x 2x 7x 23

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 7 = 112

Therefore, the value for common factors is 112.

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 = 33022045453824/(1x112)

LCM = 33022045453824/112

LCM = 294839691552

Thus, we can understand that the LCM of 992,107,497,972,644 is 294839691552.

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

• LCM of 275, 608, 101, 243, 612
• LCM of 785, 584, 897, 224, 965
• LCM of 617, 497, 491, 708, 746
• LCM of 596, 263, 294, 488, 516
• LCM of 652, 920, 433, 528, 700

1. What is the LCM of 992, 107, 497, 972, 644?

Answer: LCM of 992, 107, 497, 972, 644 is 294839691552.

2. How to calculate the LCM of 992, 107, 497, 972, 644?

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 992, 107, 497, 972, 644.

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}.