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LCM of 946, 722, 841, 711

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


Find the LCM of 946, 722, 841, 711 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 946, 722, 841, 711. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,722,841,711

Given numbers are 946,722,841,711

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

The LCM of 946,722,841,711 is 204203854206.

Find LCM of 946,722,841,711 with Prime Factorization


2 946, 722, 841, 711
473, 361, 841, 711

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

2 x 473 x 361 x 841 x 711 = 204203854206

Therefore, the lowest common multiple of 946,722,841,711 is 204203854206.

LCM Formula to Find Lowest Common Multiple of 946,722,841,711

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.

946 x 722 x 841 x 711 = 408407708412

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

722 : 1, 2, 19, 38, 361, 722

841 : 1, 29, 841

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,722,841,711, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

722:2x 19x 19

841:29x 29

711:3x 3x 79

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 = 408407708412/(1x2)

LCM = 408407708412/2

LCM = 204203854206

Thus, we can understand that the LCM of 946,722,841,711 is 204203854206.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 722, 841, 711

1. What is the LCM of 946, 722, 841, 711?

Answer: LCM of 946, 722, 841, 711 is 204203854206.

2. How to calculate the LCM of 946, 722, 841, 711?

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 946, 722, 841, 711.

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}.