Given numbers are 235,590,756,929,940

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

The LCM of 235,590,756,929,940 is 9737722260.

Find LCM of 235,590,756,929,940 with Prime Factorization

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

2 x 2 x 5 x 47 x 1 x 59 x 189 x 929 x 1 = 9737722260

Therefore, the lowest common multiple of 235,590,756,929,940 is 9737722260.

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.

235 x 590 x 756 x 929 x 940 = 91534589244000

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.

235 : 1, 5, 47, 235

590 : 1, 2, 5, 10, 59, 118, 295, 590

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

929 : 1, 929

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 235,590,756,929,940, is 1.

Now, the common factors can be found like this.

235:5x 47

590:2x 5x 59

756:2x 2x 3x 3x 3x 7

929:929

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 5x 5x 47 = 9400

Therefore, the value for common factors is 9400.

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 = 91534589244000/(1x9400)

LCM = 91534589244000/9400

LCM = 9737722260

Thus, we can understand that the LCM of 235,590,756,929,940 is 9737722260.

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

• LCM of 650, 545, 517, 434, 282
• LCM of 701, 233, 512, 606, 194
• LCM of 913, 847, 645, 324, 611
• LCM of 373, 390, 531, 976, 954
• LCM of 316, 513, 154, 270, 420

1. What is the LCM of 235, 590, 756, 929, 940?

Answer: LCM of 235, 590, 756, 929, 940 is 9737722260.

2. How to calculate the LCM of 235, 590, 756, 929, 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 235, 590, 756, 929, 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}.