Given numbers are 748,149,429,201

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

The LCM of 748,149,429,201 is 291224076.

Find LCM of 748,149,429,201 with Prime Factorization

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

3 x 11 x 68 x 149 x 13 x 67 = 291224076

Therefore, the lowest common multiple of 748,149,429,201 is 291224076.

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 149 x 429 x 201 = 9610394508

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

149 : 1, 149

429 : 1, 3, 11, 13, 33, 39, 143, 429

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,149,429,201, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

149:149

429:3x 11x 13

201:3x 67

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 9610394508/(1x33)

LCM = 9610394508/33

LCM = 291224076

Thus, we can understand that the LCM of 748,149,429,201 is 291224076.

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

• LCM of 560, 890, 634, 748
• LCM of 130, 546, 146, 785
• LCM of 925, 841, 888, 867
• LCM of 685, 144, 662, 324
• LCM of 747, 987, 754, 374

1. What is the LCM of 748, 149, 429, 201?

Answer: LCM of 748, 149, 429, 201 is 291224076.

2. How to calculate the LCM of 748, 149, 429, 201?

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, 149, 429, 201.

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}.