Given numbers are 752,201,574,940

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

The LCM of 752,201,574,940 is 216903120.

Find LCM of 752,201,574,940 with Prime Factorization

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

2 x 2 x 47 x 4 x 201 x 287 x 5 = 216903120

Therefore, the lowest common multiple of 752,201,574,940 is 216903120.

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.

752 x 201 x 574 x 940 = 81555573120

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

201 : 1, 3, 67, 201

574 : 1, 2, 7, 14, 41, 82, 287, 574

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,201,574,940, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

201:3x 67

574:2x 7x 41

940:2x 2x 5x 47

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 47 = 376

Therefore, the value for common factors is 376.

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 = 81555573120/(1x376)

LCM = 81555573120/376

LCM = 216903120

Thus, we can understand that the LCM of 752,201,574,940 is 216903120.

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

• LCM of 778, 835, 502, 782
• LCM of 616, 982, 638, 693
• LCM of 539, 817, 380, 127
• LCM of 514, 521, 922, 336
• LCM of 240, 413, 289, 853

1. What is the LCM of 752, 201, 574, 940?

Answer: LCM of 752, 201, 574, 940 is 216903120.

2. How to calculate the LCM of 752, 201, 574, 940?

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 752, 201, 574, 940.

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}.