Given numbers are 910,624,378,946

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

The LCM of 910,624,378,946 is 92972880.

Find LCM of 910,624,378,946 with Prime Factorization

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

2 x 3 x 7 x 13 x 5 x 8 x 9 x 473 = 92972880

Therefore, the lowest common multiple of 910,624,378,946 is 92972880.

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.

910 x 624 x 378 x 946 = 203052769920

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,624,378,946, is 2.

Now, the common factors can be found like this.

910:2x 5x 7x 13

624:2x 2x 2x 2x 3x 13

378:2x 3x 3x 3x 7

946:2x 11x 43

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 7x 13 = 1092

Therefore, the value for common factors is 1092.

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 = 203052769920/(2x1092)

LCM = 203052769920/2184

LCM = 92972880

Thus, we can understand that the LCM of 910,624,378,946 is 92972880.

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

• LCM of 818, 892, 208, 743
• LCM of 732, 661, 923, 726
• LCM of 903, 559, 879, 965
• LCM of 431, 724, 625, 637
• LCM of 721, 772, 175, 978

1. What is the LCM of 910, 624, 378, 946?

Answer: LCM of 910, 624, 378, 946 is 92972880.

2. How to calculate the LCM of 910, 624, 378, 946?

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 910, 624, 378, 946.

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}.