Given numbers are 769,348,988,918,352

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

The LCM of 769,348,988,918,352 is 889972608096.

Find LCM of 769,348,988,918,352 with Prime Factorization

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

2 x 2 x 3 x 769 x 29 x 247 x 153 x 88 = 889972608096

Therefore, the lowest common multiple of 769,348,988,918,352 is 889972608096.

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 348 x 988 x 918 x 352 = 85437370377216

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,348,988,918,352, is 1.

Now, the common factors can be found like this.

769:769

348:2x 2x 3x 29

988:2x 2x 13x 19

918:2x 3x 3x 3x 17

352:2x 2x 2x 2x 2x 11

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 2x 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 85437370377216/(1x96)

LCM = 85437370377216/96

LCM = 889972608096

Thus, we can understand that the LCM of 769,348,988,918,352 is 889972608096.

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

• LCM of 748, 697, 225, 424, 487
• LCM of 188, 226, 760, 719, 316
• LCM of 390, 922, 918, 476, 656
• LCM of 205, 184, 794, 747, 845
• LCM of 387, 693, 581, 200, 145

1. What is the LCM of 769, 348, 988, 918, 352?

Answer: LCM of 769, 348, 988, 918, 352 is 889972608096.

2. How to calculate the LCM of 769, 348, 988, 918, 352?

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, 348, 988, 918, 352.

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}.