Given numbers are 920,125,749,338

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

The LCM of 920,125,749,338 is 2911363000.

Find LCM of 920,125,749,338 with Prime Factorization

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

2 x 5 x 92 x 25 x 749 x 169 = 2911363000

Therefore, the lowest common multiple of 920,125,749,338 is 2911363000.

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.

920 x 125 x 749 x 338 = 29113630000

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

125 : 1, 5, 25, 125

749 : 1, 7, 107, 749

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,125,749,338, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

125:5x 5x 5

749:7x 107

338:2x 13x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 29113630000/(1x10)

LCM = 29113630000/10

LCM = 2911363000

Thus, we can understand that the LCM of 920,125,749,338 is 2911363000.

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

• LCM of 615, 353, 168, 111
• LCM of 652, 164, 379, 842
• LCM of 382, 526, 449, 503
• LCM of 282, 356, 681, 429
• LCM of 582, 162, 437, 985

1. What is the LCM of 920, 125, 749, 338?

Answer: LCM of 920, 125, 749, 338 is 2911363000.

2. How to calculate the LCM of 920, 125, 749, 338?

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 920, 125, 749, 338.

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}.