Given numbers are 771,749,214

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

The LCM of 771,749,214 is 1154958.

Find LCM of 771,749,214 with Prime Factorization

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

107 x 771 x 7 x 2 = 1154958

Therefore, the lowest common multiple of 771,749,214 is 1154958.

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.

771 x 749 x 214 = 123580506

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.

771 : 1, 3, 257, 771

749 : 1, 7, 107, 749

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,749,214, is 1.

Now, the common factors can be found like this.

771:3x 257

749:7x 107

214:2x 107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 123580506/(1x107)

LCM = 123580506/107

LCM = 1154958

Thus, we can understand that the LCM of 771,749,214 is 1154958.

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

• LCM of 573, 443, 254
• LCM of 752, 725, 753
• LCM of 201, 425, 869
• LCM of 277, 219, 445
• LCM of 458, 352, 639

1. What is the LCM of 771, 749, 214?

Answer: LCM of 771, 749, 214 is 1154958.

2. How to calculate the LCM of 771, 749, 214?

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 771, 749, 214.

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}.