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LCM of 313, 322, 210, 671

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


Find the LCM of 313, 322, 210, 671 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 313, 322, 210, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 313,322,210,671

Given numbers are 313,322,210,671

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

The LCM of 313,322,210,671 is 1014411090.

Find LCM of 313,322,210,671 with Prime Factorization


2 313, 322, 210, 671
7 313, 161, 105, 671
313, 23, 15, 671

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

2 x 7 x 313 x 23 x 15 x 671 = 1014411090

Therefore, the lowest common multiple of 313,322,210,671 is 1014411090.

LCM Formula to Find Lowest Common Multiple of 313,322,210,671

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.

313 x 322 x 210 x 671 = 14201755260

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.

313 : 1, 313

322 : 1, 2, 7, 14, 23, 46, 161, 322

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,322,210,671, is 1.

Now, the common factors can be found like this.

313:313

322:2x 7x 23

210:2x 3x 5x 7

671:11x 61

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 14201755260/(1x14)

LCM = 14201755260/14

LCM = 1014411090

Thus, we can understand that the LCM of 313,322,210,671 is 1014411090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 313, 322, 210, 671

1. What is the LCM of 313, 322, 210, 671?

Answer: LCM of 313, 322, 210, 671 is 1014411090.

2. How to calculate the LCM of 313, 322, 210, 671?

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 313, 322, 210, 671.

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}.