Given numbers are 144,336,708,626,874

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

The LCM of 144,336,708,626,874 is 8134639632.

Find LCM of 144,336,708,626,874 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 7 x 59 x 313 x 437 = 8134639632

Therefore, the lowest common multiple of 144,336,708,626,874 is 8134639632.

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.

144 x 336 x 708 x 626 x 874 = 18742209712128

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

626 : 1, 2, 313, 626

874 : 1, 2, 19, 23, 38, 46, 437, 874

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,336,708,626,874, is 2.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

336:2x 2x 2x 2x 3x 7

708:2x 2x 3x 59

626:2x 313

874:2x 19x 23

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 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 18742209712128/(2x1152)

LCM = 18742209712128/2304

LCM = 8134639632

Thus, we can understand that the LCM of 144,336,708,626,874 is 8134639632.

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

• LCM of 128, 744, 579, 137, 113
• LCM of 117, 657, 804, 401, 310
• LCM of 382, 358, 187, 796, 366
• LCM of 229, 615, 138, 736, 535
• LCM of 821, 874, 936, 396, 399

1. What is the LCM of 144, 336, 708, 626, 874?

Answer: LCM of 144, 336, 708, 626, 874 is 8134639632.

2. How to calculate the LCM of 144, 336, 708, 626, 874?

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 144, 336, 708, 626, 874.

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}.