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LCM of 770, 542, 968, 928

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


Find the LCM of 770, 542, 968, 928 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 770, 542, 968, 928. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,542,968,928

Given numbers are 770,542,968,928

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

The LCM of 770,542,968,928 is 1065051680.

Find LCM of 770,542,968,928 with Prime Factorization


2 770, 542, 968, 928
2 385, 271, 484, 464
2 385, 271, 242, 232
11 385, 271, 121, 116
35, 271, 11, 116

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

2 x 2 x 2 x 11 x 35 x 271 x 11 x 116 = 1065051680

Therefore, the lowest common multiple of 770,542,968,928 is 1065051680.

LCM Formula to Find Lowest Common Multiple of 770,542,968,928

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.

770 x 542 x 968 x 928 = 374898191360

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

542 : 1, 2, 271, 542

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,542,968,928, is 2.

Now, the common factors can be found like this.

770:2x 5x 7x 11

542:2x 271

968:2x 2x 2x 11x 11

928:2x 2x 2x 2x 2x 29

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 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 374898191360/(2x176)

LCM = 374898191360/352

LCM = 1065051680

Thus, we can understand that the LCM of 770,542,968,928 is 1065051680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 542, 968, 928

1. What is the LCM of 770, 542, 968, 928?

Answer: LCM of 770, 542, 968, 928 is 1065051680.

2. How to calculate the LCM of 770, 542, 968, 928?

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 770, 542, 968, 928.

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}.