Given numbers are 748,749,861

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

The LCM of 748,749,861 is 68910996.

Find LCM of 748,749,861 with Prime Factorization

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

7 x 748 x 107 x 123 = 68910996

Therefore, the lowest common multiple of 748,749,861 is 68910996.

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.

748 x 749 x 861 = 482376972

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

749 : 1, 7, 107, 749

861 : 1, 3, 7, 21, 41, 123, 287, 861

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,749,861, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

749:7x 107

861:3x 7x 41

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

7 = 7

Therefore, the value for common factors is 7.

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 = 482376972/(1x7)

LCM = 482376972/7

LCM = 68910996

Thus, we can understand that the LCM of 748,749,861 is 68910996.

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

• LCM of 459, 730, 992
• LCM of 709, 643, 648
• LCM of 778, 410, 362
• LCM of 403, 688, 494
• LCM of 338, 496, 329

1. What is the LCM of 748, 749, 861?

Answer: LCM of 748, 749, 861 is 68910996.

2. How to calculate the LCM of 748, 749, 861?

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 748, 749, 861.

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}.