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LCM of 974, 778, 985, 728

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


Find the LCM of 974, 778, 985, 728 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, 778, 985, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 974,778,985,728

Given numbers are 974,778,985,728

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

The LCM of 974,778,985,728 is 135845786440.

Find LCM of 974,778,985,728 with Prime Factorization


2 974, 778, 985, 728
487, 389, 985, 364

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

2 x 487 x 389 x 985 x 364 = 135845786440

Therefore, the lowest common multiple of 974,778,985,728 is 135845786440.

LCM Formula to Find Lowest Common Multiple of 974,778,985,728

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 778 x 985 x 728 = 543383145760

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

778 : 1, 2, 389, 778

985 : 1, 5, 197, 985

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,778,985,728, is 1.

Now, the common factors can be found like this.

974:2x 487

778:2x 389

985:5x 197

728:2x 2x 2x 7x 13

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 = 543383145760/(1x4)

LCM = 543383145760/4

LCM = 135845786440

Thus, we can understand that the LCM of 974,778,985,728 is 135845786440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 974, 778, 985, 728

1. What is the LCM of 974, 778, 985, 728?

Answer: LCM of 974, 778, 985, 728 is 135845786440.

2. How to calculate the LCM of 974, 778, 985, 728?

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, 778, 985, 728.

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}.