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LCM of 902, 492, 854, 347

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


Find the LCM of 902, 492, 854, 347 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 902, 492, 854, 347. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,492,854,347

Given numbers are 902,492,854,347

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

The LCM of 902,492,854,347 is 801890628.

Find LCM of 902,492,854,347 with Prime Factorization


2 902, 492, 854, 347
41 451, 246, 427, 347
11, 6, 427, 347

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

2 x 41 x 11 x 6 x 427 x 347 = 801890628

Therefore, the lowest common multiple of 902,492,854,347 is 801890628.

LCM Formula to Find Lowest Common Multiple of 902,492,854,347

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.

902 x 492 x 854 x 347 = 131510062992

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

854 : 1, 2, 7, 14, 61, 122, 427, 854

347 : 1, 347

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,492,854,347, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

492:2x 2x 3x 41

854:2x 7x 61

347:347

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 41 = 164

Therefore, the value for common factors is 164.

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 = 131510062992/(1x164)

LCM = 131510062992/164

LCM = 801890628

Thus, we can understand that the LCM of 902,492,854,347 is 801890628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 492, 854, 347

1. What is the LCM of 902, 492, 854, 347?

Answer: LCM of 902, 492, 854, 347 is 801890628.

2. How to calculate the LCM of 902, 492, 854, 347?

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 902, 492, 854, 347.

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}.