Given numbers are 769,610,299,240

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

The LCM of 769,610,299,240 is 3366189840.

Find LCM of 769,610,299,240 with Prime Factorization

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

2 x 5 x 769 x 61 x 299 x 24 = 3366189840

Therefore, the lowest common multiple of 769,610,299,240 is 3366189840.

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.

769 x 610 x 299 x 240 = 33661898400

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.

769 : 1, 769

610 : 1, 2, 5, 10, 61, 122, 305, 610

299 : 1, 13, 23, 299

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,610,299,240, is 1.

Now, the common factors can be found like this.

769:769

610:2x 5x 61

299:13x 23

240:2x 2x 2x 2x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 33661898400/(1x10)

LCM = 33661898400/10

LCM = 3366189840

Thus, we can understand that the LCM of 769,610,299,240 is 3366189840.

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

• LCM of 494, 214, 525, 223
• LCM of 175, 648, 807, 775
• LCM of 550, 384, 833, 830
• LCM of 131, 403, 257, 392
• LCM of 963, 152, 168, 728

1. What is the LCM of 769, 610, 299, 240?

Answer: LCM of 769, 610, 299, 240 is 3366189840.

2. How to calculate the LCM of 769, 610, 299, 240?

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 769, 610, 299, 240.

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}.