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LCM of 297, 974, 466, 646

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 297, 974, 466, 646 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 297, 974, 466, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 297,974,466,646

Given numbers are 297,974,466,646

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

The LCM of 297,974,466,646 is 21770773002.

Find LCM of 297,974,466,646 with Prime Factorization


2 297, 974, 466, 646
297, 487, 233, 323

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

2 x 297 x 487 x 233 x 323 = 21770773002

Therefore, the lowest common multiple of 297,974,466,646 is 21770773002.

LCM Formula to Find Lowest Common Multiple of 297,974,466,646

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.

297 x 974 x 466 x 646 = 87083092008

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.

297 : 1, 3, 9, 11, 27, 33, 99, 297

974 : 1, 2, 487, 974

466 : 1, 2, 233, 466

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,974,466,646, is 1.

Now, the common factors can be found like this.

297:3x 3x 3x 11

974:2x 487

466:2x 233

646:2x 17x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 87083092008/(1x4)

LCM = 87083092008/4

LCM = 21770773002

Thus, we can understand that the LCM of 297,974,466,646 is 21770773002.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 297, 974, 466, 646

1. What is the LCM of 297, 974, 466, 646?

Answer: LCM of 297, 974, 466, 646 is 21770773002.

2. How to calculate the LCM of 297, 974, 466, 646?

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 297, 974, 466, 646.

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}.