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LCM of 526, 697, 960

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


Find the LCM of 526, 697, 960 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 526, 697, 960. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 526,697,960

Given numbers are 526,697,960

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

The LCM of 526,697,960 is 175978560.

Find LCM of 526,697,960 with Prime Factorization


2 526, 697, 960
263, 697, 480

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

2 x 263 x 697 x 480 = 175978560

Therefore, the lowest common multiple of 526,697,960 is 175978560.

LCM Formula to Find Lowest Common Multiple of 526,697,960

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.

526 x 697 x 960 = 351957120

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.

526 : 1, 2, 263, 526

697 : 1, 17, 41, 697

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,697,960, is 1.

Now, the common factors can be found like this.

526:2x 263

697:17x 41

960:2x 2x 2x 2x 2x 2x 3x 5

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

2 = 2

Therefore, the value for common factors is 2.

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 = 351957120/(1x2)

LCM = 351957120/2

LCM = 175978560

Thus, we can understand that the LCM of 526,697,960 is 175978560.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 526, 697, 960

1. What is the LCM of 526, 697, 960?

Answer: LCM of 526, 697, 960 is 175978560.

2. How to calculate the LCM of 526, 697, 960?

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 526, 697, 960.

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}.