Given numbers are 775,101,420,174,230

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

The LCM of 775,101,420,174,230 is 4385591700.

Find LCM of 775,101,420,174,230 with Prime Factorization

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

2 x 3 x 5 x 155 x 101 x 14 x 29 x 23 = 4385591700

Therefore, the lowest common multiple of 775,101,420,174,230 is 4385591700.

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.

775 x 101 x 420 x 174 x 230 = 1315677510000

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.

775 : 1, 5, 25, 31, 155, 775

101 : 1, 101

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

174 : 1, 2, 3, 6, 29, 58, 87, 174

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,101,420,174,230, is 1.

Now, the common factors can be found like this.

775:5x 5x 31

101:101

420:2x 2x 3x 5x 7

174:2x 3x 29

230:2x 5x 23

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 1315677510000/(1x300)

LCM = 1315677510000/300

LCM = 4385591700

Thus, we can understand that the LCM of 775,101,420,174,230 is 4385591700.

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

• LCM of 146, 370, 414, 786, 447
• LCM of 517, 424, 133, 237, 885
• LCM of 440, 976, 628, 966, 634
• LCM of 198, 870, 897, 468, 692
• LCM of 391, 211, 648, 463, 154

1. What is the LCM of 775, 101, 420, 174, 230?

Answer: LCM of 775, 101, 420, 174, 230 is 4385591700.

2. How to calculate the LCM of 775, 101, 420, 174, 230?

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 775, 101, 420, 174, 230.

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}.