Given numbers are 972,276,414,858,403

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

The LCM of 972,276,414,858,403 is 99104148.

Find LCM of 972,276,414,858,403 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 23 x 27 x 1 x 1 x 11 x 31 = 99104148

Therefore, the lowest common multiple of 972,276,414,858,403 is 99104148.

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 276 x 414 x 858 x 403 = 38403253766592

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,276,414,858,403, is 1.

Now, the common factors can be found like this.

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

276:2x 2x 3x 23

414:2x 3x 3x 23

858:2x 3x 11x 13

403:13x 31

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 3x 3x 13x 23 = 387504

Therefore, the value for common factors is 387504.

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 = 38403253766592/(1x387504)

LCM = 38403253766592/387504

LCM = 99104148

Thus, we can understand that the LCM of 972,276,414,858,403 is 99104148.

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

• LCM of 289, 596, 639, 386, 399
• LCM of 967, 905, 488, 636, 739
• LCM of 369, 299, 630, 537, 404
• LCM of 259, 484, 815, 287, 341
• LCM of 789, 147, 497, 914, 232

1. What is the LCM of 972, 276, 414, 858, 403?

Answer: LCM of 972, 276, 414, 858, 403 is 99104148.

2. How to calculate the LCM of 972, 276, 414, 858, 403?

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, 276, 414, 858, 403.

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}.