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LCM of 895, 832, 312, 202

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


Find the LCM of 895, 832, 312, 202 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 895, 832, 312, 202. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 895,832,312,202

Given numbers are 895,832,312,202

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

The LCM of 895,832,312,202 is 225625920.

Find LCM of 895,832,312,202 with Prime Factorization


2 895, 832, 312, 202
2 895, 416, 156, 101
2 895, 208, 78, 101
13 895, 104, 39, 101
895, 8, 3, 101

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

2 x 2 x 2 x 13 x 895 x 8 x 3 x 101 = 225625920

Therefore, the lowest common multiple of 895,832,312,202 is 225625920.

LCM Formula to Find Lowest Common Multiple of 895,832,312,202

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.

895 x 832 x 312 x 202 = 46930191360

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.

895 : 1, 5, 179, 895

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 895,832,312,202, is 1.

Now, the common factors can be found like this.

895:5x 179

832:2x 2x 2x 2x 2x 2x 13

312:2x 2x 2x 3x 13

202:2x 101

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 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 46930191360/(1x208)

LCM = 46930191360/208

LCM = 225625920

Thus, we can understand that the LCM of 895,832,312,202 is 225625920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 895, 832, 312, 202

1. What is the LCM of 895, 832, 312, 202?

Answer: LCM of 895, 832, 312, 202 is 225625920.

2. How to calculate the LCM of 895, 832, 312, 202?

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 895, 832, 312, 202.

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}.