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LCM of 535, 863, 214, 840

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


Find the LCM of 535, 863, 214, 840 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 535, 863, 214, 840. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 535,863,214,840

Given numbers are 535,863,214,840

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

The LCM of 535,863,214,840 is 77566440.

Find LCM of 535,863,214,840 with Prime Factorization


2 535, 863, 214, 840
5 535, 863, 107, 420
107 107, 863, 107, 84
1, 863, 1, 84

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

2 x 5 x 107 x 1 x 863 x 1 x 84 = 77566440

Therefore, the lowest common multiple of 535,863,214,840 is 77566440.

LCM Formula to Find Lowest Common Multiple of 535,863,214,840

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.

535 x 863 x 214 x 840 = 82996090800

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.

535 : 1, 5, 107, 535

863 : 1, 863

214 : 1, 2, 107, 214

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,863,214,840, is 1.

Now, the common factors can be found like this.

535:5x 107

863:863

214:2x 107

840:2x 2x 2x 3x 5x 7

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

2x 5x 107 = 1070

Therefore, the value for common factors is 1070.

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 = 82996090800/(1x1070)

LCM = 82996090800/1070

LCM = 77566440

Thus, we can understand that the LCM of 535,863,214,840 is 77566440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 535, 863, 214, 840

1. What is the LCM of 535, 863, 214, 840?

Answer: LCM of 535, 863, 214, 840 is 77566440.

2. How to calculate the LCM of 535, 863, 214, 840?

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 535, 863, 214, 840.

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}.