Given numbers are 420,968,276,672

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

The LCM of 420,968,276,672 is 9350880.

Find LCM of 420,968,276,672 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 5 x 121 x 23 x 4 = 9350880

Therefore, the lowest common multiple of 420,968,276,672 is 9350880.

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 968 x 276 x 672 = 75405496320

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,968,276,672, is 4.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

968:2x 2x 2x 11x 11

276:2x 2x 3x 23

672:2x 2x 2x 2x 2x 3x 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 2x 2x 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 75405496320/(4x2016)

LCM = 75405496320/8064

LCM = 9350880

Thus, we can understand that the LCM of 420,968,276,672 is 9350880.

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

• LCM of 752, 945, 404, 719
• LCM of 808, 992, 962, 652
• LCM of 269, 464, 848, 759
• LCM of 602, 298, 674, 281
• LCM of 584, 525, 623, 294

1. What is the LCM of 420, 968, 276, 672?

Answer: LCM of 420, 968, 276, 672 is 9350880.

2. How to calculate the LCM of 420, 968, 276, 672?

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, 968, 276, 672.

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}.