Given numbers are 679,219,281,277,949

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

The LCM of 679,219,281,277,949 is 150467716581.

Find LCM of 679,219,281,277,949 with Prime Factorization

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

73 x 679 x 3 x 281 x 277 x 13 = 150467716581

Therefore, the lowest common multiple of 679,219,281,277,949 is 150467716581.

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.

679 x 219 x 281 x 277 x 949 = 10984143310413

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.

679 : 1, 7, 97, 679

219 : 1, 3, 73, 219

281 : 1, 281

277 : 1, 277

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,219,281,277,949, is 1.

Now, the common factors can be found like this.

679:7x 97

219:3x 73

281:281

277:277

949:13x 73

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

73 = 73

Therefore, the value for common factors is 73.

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 = 10984143310413/(1x73)

LCM = 10984143310413/73

LCM = 150467716581

Thus, we can understand that the LCM of 679,219,281,277,949 is 150467716581.

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

• LCM of 355, 485, 891, 300, 576
• LCM of 648, 849, 129, 590, 368
• LCM of 813, 182, 714, 704, 367
• LCM of 526, 778, 340, 936, 975
• LCM of 790, 278, 830, 958, 777

1. What is the LCM of 679, 219, 281, 277, 949?

Answer: LCM of 679, 219, 281, 277, 949 is 150467716581.

2. How to calculate the LCM of 679, 219, 281, 277, 949?

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 679, 219, 281, 277, 949.

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}.