Given numbers are 969,323,743,398

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

The LCM of 969,323,743,398 is 286546866.

Find LCM of 969,323,743,398 with Prime Factorization

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

17 x 19 x 3 x 1 x 743 x 398 = 286546866

Therefore, the lowest common multiple of 969,323,743,398 is 286546866.

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.

969 x 323 x 743 x 398 = 92554637718

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

323 : 1, 17, 19, 323

743 : 1, 743

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,323,743,398, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

323:17x 19

743:743

398:2x 199

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

17x 19 = 323

Therefore, the value for common factors is 323.

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 = 92554637718/(1x323)

LCM = 92554637718/323

LCM = 286546866

Thus, we can understand that the LCM of 969,323,743,398 is 286546866.

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

• LCM of 262, 757, 781, 496
• LCM of 794, 311, 241, 645
• LCM of 464, 838, 936, 911
• LCM of 233, 648, 919, 931
• LCM of 363, 761, 352, 658

1. What is the LCM of 969, 323, 743, 398?

Answer: LCM of 969, 323, 743, 398 is 286546866.

2. How to calculate the LCM of 969, 323, 743, 398?

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 969, 323, 743, 398.

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}.