Given numbers are 326,370,654,378,744

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

The LCM of 326,370,654,378,744 is 154063342440.

Find LCM of 326,370,654,378,744 with Prime Factorization

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

2 x 3 x 163 x 185 x 109 x 63 x 124 = 154063342440

Therefore, the lowest common multiple of 326,370,654,378,744 is 154063342440.

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.

326 x 370 x 654 x 378 x 744 = 22185121311360

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.

326 : 1, 2, 163, 326

370 : 1, 2, 5, 10, 37, 74, 185, 370

654 : 1, 2, 3, 6, 109, 218, 327, 654

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,370,654,378,744, is 2.

Now, the common factors can be found like this.

326:2x 163

370:2x 5x 37

654:2x 3x 109

378:2x 3x 3x 3x 7

744:2x 2x 2x 3x 31

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 = 22185121311360/(2x72)

LCM = 22185121311360/144

LCM = 154063342440

Thus, we can understand that the LCM of 326,370,654,378,744 is 154063342440.

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

• LCM of 331, 140, 748, 970, 471
• LCM of 922, 331, 425, 171, 507
• LCM of 459, 221, 366, 645, 264
• LCM of 398, 969, 238, 550, 737
• LCM of 626, 802, 475, 375, 715

1. What is the LCM of 326, 370, 654, 378, 744?

Answer: LCM of 326, 370, 654, 378, 744 is 154063342440.

2. How to calculate the LCM of 326, 370, 654, 378, 744?

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 326, 370, 654, 378, 744.

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}.