Given numbers are 338,128,975,193,346

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

The LCM of 338,128,975,193,346 is 54170313600.

Find LCM of 338,128,975,193,346 with Prime Factorization

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

2 x 13 x 13 x 64 x 75 x 193 x 173 = 54170313600

Therefore, the lowest common multiple of 338,128,975,193,346 is 54170313600.

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.

338 x 128 x 975 x 193 x 346 = 2816856307200

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.

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

193 : 1, 193

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,128,975,193,346, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

128:2x 2x 2x 2x 2x 2x 2

975:3x 5x 5x 13

193:193

346:2x 173

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 13 = 52

Therefore, the value for common factors is 52.

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 = 2816856307200/(1x52)

LCM = 2816856307200/52

LCM = 54170313600

Thus, we can understand that the LCM of 338,128,975,193,346 is 54170313600.

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

• LCM of 392, 635, 978, 376, 174
• LCM of 777, 661, 563, 572, 862
• LCM of 291, 625, 678, 335, 919
• LCM of 667, 942, 232, 254, 759
• LCM of 830, 871, 427, 170, 446

1. What is the LCM of 338, 128, 975, 193, 346?

Answer: LCM of 338, 128, 975, 193, 346 is 54170313600.

2. How to calculate the LCM of 338, 128, 975, 193, 346?

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 338, 128, 975, 193, 346.

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}.