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LCM of 918, 323, 893, 863

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


Find the LCM of 918, 323, 893, 863 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 918, 323, 893, 863. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 918,323,893,863

Given numbers are 918,323,893,863

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

The LCM of 918,323,893,863 is 707464962.

Find LCM of 918,323,893,863 with Prime Factorization


17 918, 323, 893, 863
19 54, 19, 893, 863
54, 1, 47, 863

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

17 x 19 x 54 x 1 x 47 x 863 = 707464962

Therefore, the lowest common multiple of 918,323,893,863 is 707464962.

LCM Formula to Find Lowest Common Multiple of 918,323,893,863

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.

918 x 323 x 893 x 863 = 228511182726

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.

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

323 : 1, 17, 19, 323

893 : 1, 19, 47, 893

863 : 1, 863

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,323,893,863, is 1.

Now, the common factors can be found like this.

918:2x 3x 3x 3x 17

323:17x 19

893:19x 47

863:863

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

17x 19 = 323

Therefore, the value for common factors is 323.

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 = 228511182726/(1x323)

LCM = 228511182726/323

LCM = 707464962

Thus, we can understand that the LCM of 918,323,893,863 is 707464962.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 918, 323, 893, 863

1. What is the LCM of 918, 323, 893, 863?

Answer: LCM of 918, 323, 893, 863 is 707464962.

2. How to calculate the LCM of 918, 323, 893, 863?

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 918, 323, 893, 863.

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}.