Given numbers are 974,676,681,749

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

The LCM of 974,676,681,749 is 167920835628.

Find LCM of 974,676,681,749 with Prime Factorization

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

2 x 487 x 338 x 681 x 749 = 167920835628

Therefore, the lowest common multiple of 974,676,681,749 is 167920835628.

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.

974 x 676 x 681 x 749 = 335841671256

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.

974 : 1, 2, 487, 974

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

681 : 1, 3, 227, 681

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,676,681,749, is 1.

Now, the common factors can be found like this.

974:2x 487

676:2x 2x 13x 13

681:3x 227

749:7x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 335841671256/(1x2)

LCM = 335841671256/2

LCM = 167920835628

Thus, we can understand that the LCM of 974,676,681,749 is 167920835628.

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

• LCM of 890, 234, 138, 868
• LCM of 635, 574, 345, 840
• LCM of 280, 153, 630, 204
• LCM of 548, 883, 444, 759
• LCM of 605, 114, 510, 300

1. What is the LCM of 974, 676, 681, 749?

Answer: LCM of 974, 676, 681, 749 is 167920835628.

2. How to calculate the LCM of 974, 676, 681, 749?

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 974, 676, 681, 749.

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}.