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LCM of 706, 973, 211, 880, 460

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


Find the LCM of 706, 973, 211, 880, 460 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 706, 973, 211, 880, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 706,973,211,880,460

Given numbers are 706,973,211,880,460

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

The LCM of 706,973,211,880,460 is 1466832450160.

Find LCM of 706,973,211,880,460 with Prime Factorization


2 706, 973, 211, 880, 460
2 353, 973, 211, 440, 230
5 353, 973, 211, 220, 115
353, 973, 211, 44, 23

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

2 x 2 x 5 x 353 x 973 x 211 x 44 x 23 = 1466832450160

Therefore, the lowest common multiple of 706,973,211,880,460 is 1466832450160.

LCM Formula to Find Lowest Common Multiple of 706,973,211,880,460

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.

706 x 973 x 211 x 880 x 460 = 58673298006400

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.

706 : 1, 2, 353, 706

973 : 1, 7, 139, 973

211 : 1, 211

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,973,211,880,460, is 1.

Now, the common factors can be found like this.

706:2x 353

973:7x 139

211:211

880:2x 2x 2x 2x 5x 11

460:2x 2x 5x 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 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 58673298006400/(1x40)

LCM = 58673298006400/40

LCM = 1466832450160

Thus, we can understand that the LCM of 706,973,211,880,460 is 1466832450160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 706, 973, 211, 880, 460

1. What is the LCM of 706, 973, 211, 880, 460?

Answer: LCM of 706, 973, 211, 880, 460 is 1466832450160.

2. How to calculate the LCM of 706, 973, 211, 880, 460?

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 706, 973, 211, 880, 460.

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}.