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LCM of 459, 695, 639, 942

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


Find the LCM of 459, 695, 639, 942 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 459, 695, 639, 942. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 459,695,639,942

Given numbers are 459,695,639,942

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

The LCM of 459,695,639,942 is 7111897470.

Find LCM of 459,695,639,942 with Prime Factorization


3 459, 695, 639, 942
3 153, 695, 213, 314
51, 695, 71, 314

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

3 x 3 x 51 x 695 x 71 x 314 = 7111897470

Therefore, the lowest common multiple of 459,695,639,942 is 7111897470.

LCM Formula to Find Lowest Common Multiple of 459,695,639,942

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.

459 x 695 x 639 x 942 = 192021231690

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.

459 : 1, 3, 9, 17, 27, 51, 153, 459

695 : 1, 5, 139, 695

639 : 1, 3, 9, 71, 213, 639

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,695,639,942, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

695:5x 139

639:3x 3x 71

942:2x 3x 157

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 192021231690/(1x27)

LCM = 192021231690/27

LCM = 7111897470

Thus, we can understand that the LCM of 459,695,639,942 is 7111897470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 459, 695, 639, 942

1. What is the LCM of 459, 695, 639, 942?

Answer: LCM of 459, 695, 639, 942 is 7111897470.

2. How to calculate the LCM of 459, 695, 639, 942?

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 459, 695, 639, 942.

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}.