Given numbers are 670,293,338,946,420

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

The LCM of 670,293,338,946,420 is 659082163740.

Find LCM of 670,293,338,946,420 with Prime Factorization

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

2 x 5 x 67 x 293 x 169 x 473 x 42 = 659082163740

Therefore, the lowest common multiple of 670,293,338,946,420 is 659082163740.

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.

670 x 293 x 338 x 946 x 420 = 26363286549600

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.

670 : 1, 2, 5, 10, 67, 134, 335, 670

293 : 1, 293

338 : 1, 2, 13, 26, 169, 338

946 : 1, 2, 11, 22, 43, 86, 473, 946

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,293,338,946,420, is 1.

Now, the common factors can be found like this.

670:2x 5x 67

293:293

338:2x 13x 13

946:2x 11x 43

420:2x 2x 3x 5x 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 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 26363286549600/(1x40)

LCM = 26363286549600/40

LCM = 659082163740

Thus, we can understand that the LCM of 670,293,338,946,420 is 659082163740.

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

• LCM of 915, 416, 111, 580, 109
• LCM of 791, 418, 946, 899, 352
• LCM of 907, 495, 609, 999, 911
• LCM of 137, 629, 380, 729, 348
• LCM of 886, 487, 649, 422, 686

1. What is the LCM of 670, 293, 338, 946, 420?

Answer: LCM of 670, 293, 338, 946, 420 is 659082163740.

2. How to calculate the LCM of 670, 293, 338, 946, 420?

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 670, 293, 338, 946, 420.

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}.