Given numbers are 749,528,448,326

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

The LCM of 749,528,448,326 is 257847744.

Find LCM of 749,528,448,326 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 107 x 33 x 4 x 163 = 257847744

Therefore, the lowest common multiple of 749,528,448,326 is 257847744.

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.

749 x 528 x 448 x 326 = 57757894656

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.

749 : 1, 7, 107, 749

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

326 : 1, 2, 163, 326

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,528,448,326, is 1.

Now, the common factors can be found like this.

749:7x 107

528:2x 2x 2x 2x 3x 11

448:2x 2x 2x 2x 2x 2x 7

326:2x 163

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 7 = 224

Therefore, the value for common factors is 224.

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 = 57757894656/(1x224)

LCM = 57757894656/224

LCM = 257847744

Thus, we can understand that the LCM of 749,528,448,326 is 257847744.

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

• LCM of 503, 168, 469, 661
• LCM of 265, 681, 921, 871
• LCM of 806, 760, 268, 442
• LCM of 901, 574, 934, 801
• LCM of 942, 299, 478, 625

1. What is the LCM of 749, 528, 448, 326?

Answer: LCM of 749, 528, 448, 326 is 257847744.

2. How to calculate the LCM of 749, 528, 448, 326?

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 749, 528, 448, 326.

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}.