Given numbers are 780,874,107,138

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

The LCM of 780,874,107,138 is 36472020.

Find LCM of 780,874,107,138 with Prime Factorization

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

2 x 3 x 23 x 130 x 19 x 107 x 1 = 36472020

Therefore, the lowest common multiple of 780,874,107,138 is 36472020.

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.

780 x 874 x 107 x 138 = 10066277520

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

874 : 1, 2, 19, 23, 38, 46, 437, 874

107 : 1, 107

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,874,107,138, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

874:2x 19x 23

107:107

138:2x 3x 23

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 3x 23 = 276

Therefore, the value for common factors is 276.

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 = 10066277520/(1x276)

LCM = 10066277520/276

LCM = 36472020

Thus, we can understand that the LCM of 780,874,107,138 is 36472020.

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

• LCM of 826, 591, 278, 388
• LCM of 416, 658, 166, 974
• LCM of 838, 610, 105, 179
• LCM of 248, 522, 146, 572
• LCM of 929, 949, 504, 979

1. What is the LCM of 780, 874, 107, 138?

Answer: LCM of 780, 874, 107, 138 is 36472020.

2. How to calculate the LCM of 780, 874, 107, 138?

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 780, 874, 107, 138.

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}.