Given numbers are 738,407,950,974

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

The LCM of 738,407,950,974 is 69482164950.

Find LCM of 738,407,950,974 with Prime Factorization

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

2 x 369 x 407 x 475 x 487 = 69482164950

Therefore, the lowest common multiple of 738,407,950,974 is 69482164950.

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.

738 x 407 x 950 x 974 = 277928659800

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.

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

407 : 1, 11, 37, 407

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,407,950,974, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

407:11x 37

950:2x 5x 5x 19

974:2x 487

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 = 277928659800/(1x4)

LCM = 277928659800/4

LCM = 69482164950

Thus, we can understand that the LCM of 738,407,950,974 is 69482164950.

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

• LCM of 381, 895, 533, 939
• LCM of 956, 394, 724, 100
• LCM of 956, 650, 612, 378
• LCM of 594, 517, 135, 144
• LCM of 175, 287, 866, 868

1. What is the LCM of 738, 407, 950, 974?

Answer: LCM of 738, 407, 950, 974 is 69482164950.

2. How to calculate the LCM of 738, 407, 950, 974?

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 738, 407, 950, 974.

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}.