Given numbers are 464,306,276,402

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

The LCM of 464,306,276,402 is 109398672.

Find LCM of 464,306,276,402 with Prime Factorization

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

2 x 2 x 3 x 116 x 51 x 23 x 67 = 109398672

Therefore, the lowest common multiple of 464,306,276,402 is 109398672.

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.

464 x 306 x 276 x 402 = 15753408768

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

402 : 1, 2, 3, 6, 67, 134, 201, 402

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,306,276,402, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

306:2x 3x 3x 17

276:2x 2x 3x 23

402:2x 3x 67

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 3 = 72

Therefore, the value for common factors is 72.

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 = 15753408768/(2x72)

LCM = 15753408768/144

LCM = 109398672

Thus, we can understand that the LCM of 464,306,276,402 is 109398672.

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

• LCM of 581, 725, 950, 169
• LCM of 811, 222, 788, 161
• LCM of 637, 537, 798, 272
• LCM of 687, 183, 915, 468
• LCM of 955, 684, 394, 978

1. What is the LCM of 464, 306, 276, 402?

Answer: LCM of 464, 306, 276, 402 is 109398672.

2. How to calculate the LCM of 464, 306, 276, 402?

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 464, 306, 276, 402.

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}.