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LCM of 358, 868, 374, 322, 140

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


Find the LCM of 358, 868, 374, 322, 140 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 358, 868, 374, 322, 140. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,868,374,322,140

Given numbers are 358,868,374,322,140

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

The LCM of 358,868,374,322,140 is 3341274860.

Find LCM of 358,868,374,322,140 with Prime Factorization


2 358, 868, 374, 322, 140
2 179, 434, 187, 161, 70
7 179, 217, 187, 161, 35
179, 31, 187, 23, 5

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

2 x 2 x 7 x 179 x 31 x 187 x 23 x 5 = 3341274860

Therefore, the lowest common multiple of 358,868,374,322,140 is 3341274860.

LCM Formula to Find Lowest Common Multiple of 358,868,374,322,140

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.

358 x 868 x 374 x 322 x 140 = 5239118980480

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.

358 : 1, 2, 179, 358

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

374 : 1, 2, 11, 17, 22, 34, 187, 374

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

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,868,374,322,140, is 2.

Now, the common factors can be found like this.

358:2x 179

868:2x 2x 7x 31

374:2x 11x 17

322:2x 7x 23

140:2x 2x 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 2x 2x 2x 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 5239118980480/(2x784)

LCM = 5239118980480/1568

LCM = 3341274860

Thus, we can understand that the LCM of 358,868,374,322,140 is 3341274860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 868, 374, 322, 140

1. What is the LCM of 358, 868, 374, 322, 140?

Answer: LCM of 358, 868, 374, 322, 140 is 3341274860.

2. How to calculate the LCM of 358, 868, 374, 322, 140?

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 358, 868, 374, 322, 140.

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}.