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LCM of 446, 421, 892, 702

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


Find the LCM of 446, 421, 892, 702 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 446, 421, 892, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 446,421,892,702

Given numbers are 446,421,892,702

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

The LCM of 446,421,892,702 is 131811732.

Find LCM of 446,421,892,702 with Prime Factorization


2 446, 421, 892, 702
223 223, 421, 446, 351
1, 421, 2, 351

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

2 x 223 x 1 x 421 x 2 x 351 = 131811732

Therefore, the lowest common multiple of 446,421,892,702 is 131811732.

LCM Formula to Find Lowest Common Multiple of 446,421,892,702

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.

446 x 421 x 892 x 702 = 117576064944

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.

446 : 1, 2, 223, 446

421 : 1, 421

892 : 1, 2, 4, 223, 446, 892

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,421,892,702, is 1.

Now, the common factors can be found like this.

446:2x 223

421:421

892:2x 2x 223

702:2x 3x 3x 3x 13

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 223 = 892

Therefore, the value for common factors is 892.

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 = 117576064944/(1x892)

LCM = 117576064944/892

LCM = 131811732

Thus, we can understand that the LCM of 446,421,892,702 is 131811732.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 446, 421, 892, 702

1. What is the LCM of 446, 421, 892, 702?

Answer: LCM of 446, 421, 892, 702 is 131811732.

2. How to calculate the LCM of 446, 421, 892, 702?

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 446, 421, 892, 702.

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}.