Given numbers are 420,177,662,961

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

The LCM of 420,177,662,961 is 7882294980.

Find LCM of 420,177,662,961 with Prime Factorization

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

2 x 3 x 70 x 59 x 331 x 961 = 7882294980

Therefore, the lowest common multiple of 420,177,662,961 is 7882294980.

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.

420 x 177 x 662 x 961 = 47293769880

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.

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

177 : 1, 3, 59, 177

662 : 1, 2, 331, 662

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,177,662,961, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

177:3x 59

662:2x 331

961:31x 31

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 47293769880/(1x6)

LCM = 47293769880/6

LCM = 7882294980

Thus, we can understand that the LCM of 420,177,662,961 is 7882294980.

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

• LCM of 945, 284, 753, 900
• LCM of 531, 918, 194, 741
• LCM of 138, 822, 110, 509
• LCM of 731, 775, 590, 862
• LCM of 297, 288, 371, 664

1. What is the LCM of 420, 177, 662, 961?

Answer: LCM of 420, 177, 662, 961 is 7882294980.

2. How to calculate the LCM of 420, 177, 662, 961?

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 420, 177, 662, 961.

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}.