Given numbers are 771,624,988,975

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

The LCM of 771,624,988,975 is 76174800.

Find LCM of 771,624,988,975 with Prime Factorization

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

2 x 2 x 3 x 13 x 257 x 4 x 19 x 25 = 76174800

Therefore, the lowest common multiple of 771,624,988,975 is 76174800.

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.

771 x 624 x 988 x 975 = 463447483200

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.

771 : 1, 3, 257, 771

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,624,988,975, is 1.

Now, the common factors can be found like this.

771:3x 257

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

988:2x 2x 13x 19

975:3x 5x 5x 13

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 3x 13x 13 = 6084

Therefore, the value for common factors is 6084.

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 = 463447483200/(1x6084)

LCM = 463447483200/6084

LCM = 76174800

Thus, we can understand that the LCM of 771,624,988,975 is 76174800.

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

• LCM of 807, 797, 363, 567
• LCM of 962, 303, 892, 416
• LCM of 181, 943, 280, 375
• LCM of 783, 305, 818, 807
• LCM of 256, 913, 689, 407

1. What is the LCM of 771, 624, 988, 975?

Answer: LCM of 771, 624, 988, 975 is 76174800.

2. How to calculate the LCM of 771, 624, 988, 975?

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 771, 624, 988, 975.

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}.