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LCM of 745, 974, 212, 848

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


Find the LCM of 745, 974, 212, 848 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 745, 974, 212, 848. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 745,974,212,848

Given numbers are 745,974,212,848

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

The LCM of 745,974,212,848 is 307667120.

Find LCM of 745,974,212,848 with Prime Factorization


2 745, 974, 212, 848
2 745, 487, 106, 424
53 745, 487, 53, 212
745, 487, 1, 4

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

2 x 2 x 53 x 745 x 487 x 1 x 4 = 307667120

Therefore, the lowest common multiple of 745,974,212,848 is 307667120.

LCM Formula to Find Lowest Common Multiple of 745,974,212,848

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.

745 x 974 x 212 x 848 = 130450858880

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.

745 : 1, 5, 149, 745

974 : 1, 2, 487, 974

212 : 1, 2, 4, 53, 106, 212

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,974,212,848, is 1.

Now, the common factors can be found like this.

745:5x 149

974:2x 487

212:2x 2x 53

848:2x 2x 2x 2x 53

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 2x 53 = 424

Therefore, the value for common factors is 424.

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 = 130450858880/(1x424)

LCM = 130450858880/424

LCM = 307667120

Thus, we can understand that the LCM of 745,974,212,848 is 307667120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 745, 974, 212, 848

1. What is the LCM of 745, 974, 212, 848?

Answer: LCM of 745, 974, 212, 848 is 307667120.

2. How to calculate the LCM of 745, 974, 212, 848?

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 745, 974, 212, 848.

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}.