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LCM of 956, 723, 691, 442

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


Find the LCM of 956, 723, 691, 442 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 956, 723, 691, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 956,723,691,442

Given numbers are 956,723,691,442

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

The LCM of 956,723,691,442 is 105552010668.

Find LCM of 956,723,691,442 with Prime Factorization


2 956, 723, 691, 442
478, 723, 691, 221

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

2 x 478 x 723 x 691 x 221 = 105552010668

Therefore, the lowest common multiple of 956,723,691,442 is 105552010668.

LCM Formula to Find Lowest Common Multiple of 956,723,691,442

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.

956 x 723 x 691 x 442 = 211104021336

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.

956 : 1, 2, 4, 239, 478, 956

723 : 1, 3, 241, 723

691 : 1, 691

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,723,691,442, is 1.

Now, the common factors can be found like this.

956:2x 2x 239

723:3x 241

691:691

442:2x 13x 17

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 = 211104021336/(1x2)

LCM = 211104021336/2

LCM = 105552010668

Thus, we can understand that the LCM of 956,723,691,442 is 105552010668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 956, 723, 691, 442

1. What is the LCM of 956, 723, 691, 442?

Answer: LCM of 956, 723, 691, 442 is 105552010668.

2. How to calculate the LCM of 956, 723, 691, 442?

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 956, 723, 691, 442.

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}.