Given numbers are 468,975,987,738,632

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

The LCM of 468,975,987,738,632 is 24935765400.

Find LCM of 468,975,987,738,632 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 1 x 25 x 329 x 41 x 158 = 24935765400

Therefore, the lowest common multiple of 468,975,987,738,632 is 24935765400.

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.

468 x 975 x 987 x 738 x 632 = 210058887729600

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

987 : 1, 3, 7, 21, 47, 141, 329, 987

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,975,987,738,632, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

975:3x 5x 5x 13

987:3x 7x 47

738:2x 3x 3x 41

632:2x 2x 2x 79

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 3x 3x 3x 3x 13 = 8424

Therefore, the value for common factors is 8424.

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 = 210058887729600/(1x8424)

LCM = 210058887729600/8424

LCM = 24935765400

Thus, we can understand that the LCM of 468,975,987,738,632 is 24935765400.

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

• LCM of 142, 600, 294, 855, 138
• LCM of 716, 506, 981, 697, 152
• LCM of 448, 622, 818, 952, 427
• LCM of 956, 528, 880, 426, 491
• LCM of 152, 584, 890, 426, 691

1. What is the LCM of 468, 975, 987, 738, 632?

Answer: LCM of 468, 975, 987, 738, 632 is 24935765400.

2. How to calculate the LCM of 468, 975, 987, 738, 632?

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 468, 975, 987, 738, 632.

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}.