Given numbers are 762,141,504,364

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

The LCM of 762,141,504,364 is 39108888.

Find LCM of 762,141,504,364 with Prime Factorization

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

2 x 2 x 3 x 7 x 127 x 47 x 6 x 13 = 39108888

Therefore, the lowest common multiple of 762,141,504,364 is 39108888.

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 141 x 504 x 364 = 19710879552

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

141 : 1, 3, 47, 141

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,141,504,364, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

141:3x 47

504:2x 2x 2x 3x 3x 7

364:2x 2x 7x 13

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 19710879552/(1x504)

LCM = 19710879552/504

LCM = 39108888

Thus, we can understand that the LCM of 762,141,504,364 is 39108888.

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

• LCM of 372, 166, 576, 278
• LCM of 602, 445, 771, 515
• LCM of 825, 155, 968, 302
• LCM of 666, 599, 838, 701
• LCM of 997, 356, 905, 810

1. What is the LCM of 762, 141, 504, 364?

Answer: LCM of 762, 141, 504, 364 is 39108888.

2. How to calculate the LCM of 762, 141, 504, 364?

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, 141, 504, 364.

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}.