Given numbers are 770,149,102,224

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

The LCM of 770,149,102,224 is 93619680.

Find LCM of 770,149,102,224 with Prime Factorization

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

2 x 7 x 55 x 149 x 51 x 16 = 93619680

Therefore, the lowest common multiple of 770,149,102,224 is 93619680.

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.

770 x 149 x 102 x 224 = 2621351040

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

149 : 1, 149

102 : 1, 2, 3, 6, 17, 34, 51, 102

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,149,102,224, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

149:149

102:2x 3x 17

224:2x 2x 2x 2x 2x 7

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 = 2621351040/(1x28)

LCM = 2621351040/28

LCM = 93619680

Thus, we can understand that the LCM of 770,149,102,224 is 93619680.

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

• LCM of 892, 304, 474, 790
• LCM of 327, 363, 752, 260
• LCM of 420, 996, 544, 646
• LCM of 369, 439, 252, 700
• LCM of 700, 364, 429, 905

1. What is the LCM of 770, 149, 102, 224?

Answer: LCM of 770, 149, 102, 224 is 93619680.

2. How to calculate the LCM of 770, 149, 102, 224?

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 770, 149, 102, 224.

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}.