Given numbers are 921,972,119

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

The LCM of 921,972,119 is 35510076.

Find LCM of 921,972,119 with Prime Factorization

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

3 x 307 x 324 x 119 = 35510076

Therefore, the lowest common multiple of 921,972,119 is 35510076.

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.

921 x 972 x 119 = 106530228

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.

921 : 1, 3, 307, 921

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,972,119, is 1.

Now, the common factors can be found like this.

921:3x 307

972:2x 2x 3x 3x 3x 3x 3

119:7x 17

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

3 = 3

Therefore, the value for common factors is 3.

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 = 106530228/(1x3)

LCM = 106530228/3

LCM = 35510076

Thus, we can understand that the LCM of 921,972,119 is 35510076.

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

• LCM of 540, 956, 993
• LCM of 952, 721, 381
• LCM of 835, 944, 600
• LCM of 493, 920, 213
• LCM of 906, 477, 519

1. What is the LCM of 921, 972, 119?

Answer: LCM of 921, 972, 119 is 35510076.

2. How to calculate the LCM of 921, 972, 119?

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 921, 972, 119.

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}.