Given numbers are 749,51,314,544

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

The LCM of 749,51,314,544 is 191911776.

Find LCM of 749,51,314,544 with Prime Factorization

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

2 x 17 x 749 x 3 x 157 x 16 = 191911776

Therefore, the lowest common multiple of 749,51,314,544 is 191911776.

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 51 x 314 x 544 = 6525000384

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

51 : 1, 3, 17, 51

314 : 1, 2, 157, 314

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,51,314,544, is 1.

Now, the common factors can be found like this.

749:7x 107

51:3x 17

314:2x 157

544:2x 2x 2x 2x 2x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 6525000384/(1x34)

LCM = 6525000384/34

LCM = 191911776

Thus, we can understand that the LCM of 749,51,314,544 is 191911776.

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

• LCM of 459, 78, 752, 213
• LCM of 145, 16, 910, 173
• LCM of 147, 49, 844, 667
• LCM of 666, 96, 480, 683
• LCM of 728, 22, 104, 992

1. What is the LCM of 749, 51, 314, 544?

Answer: LCM of 749, 51, 314, 544 is 191911776.

2. How to calculate the LCM of 749, 51, 314, 544?

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, 51, 314, 544.

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}.