Given numbers are 938,965,778,312,774

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

The LCM of 938,965,778,312,774 is 7085884380120.

Find LCM of 938,965,778,312,774 with Prime Factorization

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

2 x 3 x 469 x 965 x 389 x 52 x 129 = 7085884380120

Therefore, the lowest common multiple of 938,965,778,312,774 is 7085884380120.

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.

938 x 965 x 778 x 312 x 774 = 170061225122880

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.

938 : 1, 2, 7, 14, 67, 134, 469, 938

965 : 1, 5, 193, 965

778 : 1, 2, 389, 778

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,965,778,312,774, is 1.

Now, the common factors can be found like this.

938:2x 7x 67

965:5x 193

778:2x 389

312:2x 2x 2x 3x 13

774:2x 3x 3x 43

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 3 = 24

Therefore, the value for common factors is 24.

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 = 170061225122880/(1x24)

LCM = 170061225122880/24

LCM = 7085884380120

Thus, we can understand that the LCM of 938,965,778,312,774 is 7085884380120.

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

• LCM of 184, 516, 237, 617, 542
• LCM of 869, 377, 125, 685, 688
• LCM of 723, 826, 499, 602, 856
• LCM of 737, 515, 465, 432, 502
• LCM of 881, 244, 797, 511, 670

1. What is the LCM of 938, 965, 778, 312, 774?

Answer: LCM of 938, 965, 778, 312, 774 is 7085884380120.

2. How to calculate the LCM of 938, 965, 778, 312, 774?

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 938, 965, 778, 312, 774.

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}.