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LCM of 684, 438, 981, 838

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


Find the LCM of 684, 438, 981, 838 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 684, 438, 981, 838. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 684,438,981,838

Given numbers are 684,438,981,838

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

The LCM of 684,438,981,838 is 2280444372.

Find LCM of 684,438,981,838 with Prime Factorization


2 684, 438, 981, 838
3 342, 219, 981, 419
3 114, 73, 327, 419
38, 73, 109, 419

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

2 x 3 x 3 x 38 x 73 x 109 x 419 = 2280444372

Therefore, the lowest common multiple of 684,438,981,838 is 2280444372.

LCM Formula to Find Lowest Common Multiple of 684,438,981,838

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.

684 x 438 x 981 x 838 = 246287992176

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

438 : 1, 2, 3, 6, 73, 146, 219, 438

981 : 1, 3, 9, 109, 327, 981

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,438,981,838, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

438:2x 3x 73

981:3x 3x 109

838:2x 419

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 246287992176/(1x108)

LCM = 246287992176/108

LCM = 2280444372

Thus, we can understand that the LCM of 684,438,981,838 is 2280444372.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 684, 438, 981, 838

1. What is the LCM of 684, 438, 981, 838?

Answer: LCM of 684, 438, 981, 838 is 2280444372.

2. How to calculate the LCM of 684, 438, 981, 838?

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 684, 438, 981, 838.

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}.