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LCM of 611, 688, 119, 322

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


Find the LCM of 611, 688, 119, 322 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 611, 688, 119, 322. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 611,688,119,322

Given numbers are 611,688,119,322

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

The LCM of 611,688,119,322 is 1150547216.

Find LCM of 611,688,119,322 with Prime Factorization


2 611, 688, 119, 322
7 611, 344, 119, 161
611, 344, 17, 23

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

2 x 7 x 611 x 344 x 17 x 23 = 1150547216

Therefore, the lowest common multiple of 611,688,119,322 is 1150547216.

LCM Formula to Find Lowest Common Multiple of 611,688,119,322

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.

611 x 688 x 119 x 322 = 16107661024

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.

611 : 1, 13, 47, 611

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

119 : 1, 7, 17, 119

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,688,119,322, is 1.

Now, the common factors can be found like this.

611:13x 47

688:2x 2x 2x 2x 43

119:7x 17

322:2x 7x 23

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 = 16107661024/(1x14)

LCM = 16107661024/14

LCM = 1150547216

Thus, we can understand that the LCM of 611,688,119,322 is 1150547216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 611, 688, 119, 322

1. What is the LCM of 611, 688, 119, 322?

Answer: LCM of 611, 688, 119, 322 is 1150547216.

2. How to calculate the LCM of 611, 688, 119, 322?

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 611, 688, 119, 322.

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}.