Given numbers are 759,194,780,149,142

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

The LCM of 759,194,780,149,142 is 202503006420.

Find LCM of 759,194,780,149,142 with Prime Factorization

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

2 x 3 x 253 x 97 x 130 x 149 x 71 = 202503006420

Therefore, the lowest common multiple of 759,194,780,149,142 is 202503006420.

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.

759 x 194 x 780 x 149 x 142 = 2430036077040

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

194 : 1, 2, 97, 194

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

149 : 1, 149

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,194,780,149,142, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

194:2x 97

780:2x 2x 3x 5x 13

149:149

142:2x 71

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 3 = 12

Therefore, the value for common factors is 12.

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 = 2430036077040/(1x12)

LCM = 2430036077040/12

LCM = 202503006420

Thus, we can understand that the LCM of 759,194,780,149,142 is 202503006420.

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

• LCM of 184, 825, 643, 381, 578
• LCM of 401, 955, 878, 902, 632
• LCM of 740, 212, 365, 472, 889
• LCM of 866, 301, 720, 377, 358
• LCM of 524, 649, 250, 606, 111

1. What is the LCM of 759, 194, 780, 149, 142?

Answer: LCM of 759, 194, 780, 149, 142 is 202503006420.

2. How to calculate the LCM of 759, 194, 780, 149, 142?

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 759, 194, 780, 149, 142.

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}.