Given numbers are 949,560,828,113,749

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

The LCM of 949,560,828,113,749 is 1330107695280.

Find LCM of 949,560,828,113,749 with Prime Factorization

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

2 x 2 x 7 x 949 x 20 x 207 x 113 x 107 = 1330107695280

Therefore, the lowest common multiple of 949,560,828,113,749 is 1330107695280.

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.

949 x 560 x 828 x 113 x 749 = 37243015467840

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.

949 : 1, 13, 73, 949

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

113 : 1, 113

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,560,828,113,749, is 1.

Now, the common factors can be found like this.

949:13x 73

560:2x 2x 2x 2x 5x 7

828:2x 2x 3x 3x 23

113:113

749:7x 107

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 7 = 28

Therefore, the value for common factors is 28.

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 = 37243015467840/(1x28)

LCM = 37243015467840/28

LCM = 1330107695280

Thus, we can understand that the LCM of 949,560,828,113,749 is 1330107695280.

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

• LCM of 726, 894, 147, 306, 898
• LCM of 639, 514, 846, 754, 711
• LCM of 723, 718, 146, 848, 353
• LCM of 218, 921, 491, 730, 665
• LCM of 716, 581, 426, 132, 262

1. What is the LCM of 949, 560, 828, 113, 749?

Answer: LCM of 949, 560, 828, 113, 749 is 1330107695280.

2. How to calculate the LCM of 949, 560, 828, 113, 749?

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 949, 560, 828, 113, 749.

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}.