Given numbers are 762,693,237,138,740

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

The LCM of 762,693,237,138,740 is 118337830380.

Find LCM of 762,693,237,138,740 with Prime Factorization

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

2 x 3 x 127 x 231 x 79 x 23 x 370 = 118337830380

Therefore, the lowest common multiple of 762,693,237,138,740 is 118337830380.

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.

762 x 693 x 237 x 138 x 740 = 12780485681040

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

237 : 1, 3, 79, 237

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

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,693,237,138,740, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

693:3x 3x 7x 11

237:3x 79

138:2x 3x 23

740:2x 2x 5x 37

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 12780485681040/(1x108)

LCM = 12780485681040/108

LCM = 118337830380

Thus, we can understand that the LCM of 762,693,237,138,740 is 118337830380.

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

• LCM of 238, 204, 376, 875, 208
• LCM of 204, 283, 895, 123, 858
• LCM of 928, 767, 396, 225, 761
• LCM of 861, 717, 836, 703, 334
• LCM of 871, 783, 311, 907, 400

1. What is the LCM of 762, 693, 237, 138, 740?

Answer: LCM of 762, 693, 237, 138, 740 is 118337830380.

2. How to calculate the LCM of 762, 693, 237, 138, 740?

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 762, 693, 237, 138, 740.

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}.