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LCM of 946, 518, 666, 662

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


Find the LCM of 946, 518, 666, 662 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, 518, 666, 662. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,518,666,662

Given numbers are 946,518,666,662

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

The LCM of 946,518,666,662 is 729896706.

Find LCM of 946,518,666,662 with Prime Factorization


2 946, 518, 666, 662
37 473, 259, 333, 331
473, 7, 9, 331

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

2 x 37 x 473 x 7 x 9 x 331 = 729896706

Therefore, the lowest common multiple of 946,518,666,662 is 729896706.

LCM Formula to Find Lowest Common Multiple of 946,518,666,662

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 518 x 666 x 662 = 216049424976

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

518 : 1, 2, 7, 14, 37, 74, 259, 518

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

662 : 1, 2, 331, 662

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,518,666,662, is 2.

Now, the common factors can be found like this.

946:2x 11x 43

518:2x 7x 37

666:2x 3x 3x 37

662:2x 331

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 37 = 148

Therefore, the value for common factors is 148.

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 = 216049424976/(2x148)

LCM = 216049424976/296

LCM = 729896706

Thus, we can understand that the LCM of 946,518,666,662 is 729896706.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 518, 666, 662

1. What is the LCM of 946, 518, 666, 662?

Answer: LCM of 946, 518, 666, 662 is 729896706.

2. How to calculate the LCM of 946, 518, 666, 662?

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, 518, 666, 662.

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}.