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LCM of 974, 297, 874, 874

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


Find the LCM of 974, 297, 874, 874 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 974, 297, 874, 874. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 974,297,874,874

Given numbers are 974,297,874,874

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

The LCM of 974,297,874,874 is 126414486.

Find LCM of 974,297,874,874 with Prime Factorization


2 974, 297, 874, 874
19 487, 297, 437, 437
23 487, 297, 23, 23
487, 297, 1, 1

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

2 x 19 x 23 x 487 x 297 x 1 x 1 = 126414486

Therefore, the lowest common multiple of 974,297,874,874 is 126414486.

LCM Formula to Find Lowest Common Multiple of 974,297,874,874

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.

974 x 297 x 874 x 874 = 220972521528

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.

974 : 1, 2, 487, 974

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,297,874,874, is 1.

Now, the common factors can be found like this.

974:2x 487

297:3x 3x 3x 11

874:2x 19x 23

874:2x 19x 23

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 19x 23 = 1748

Therefore, the value for common factors is 1748.

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 = 220972521528/(1x1748)

LCM = 220972521528/1748

LCM = 126414486

Thus, we can understand that the LCM of 974,297,874,874 is 126414486.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 974, 297, 874, 874

1. What is the LCM of 974, 297, 874, 874?

Answer: LCM of 974, 297, 874, 874 is 126414486.

2. How to calculate the LCM of 974, 297, 874, 874?

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 974, 297, 874, 874.

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}.