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LCM of 222, 761, 689, 754

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


Find the LCM of 222, 761, 689, 754 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 222, 761, 689, 754. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 222,761,689,754

Given numbers are 222,761,689,754

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

The LCM of 222,761,689,754 is 3375630102.

Find LCM of 222,761,689,754 with Prime Factorization


2 222, 761, 689, 754
13 111, 761, 689, 377
111, 761, 53, 29

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

2 x 13 x 111 x 761 x 53 x 29 = 3375630102

Therefore, the lowest common multiple of 222,761,689,754 is 3375630102.

LCM Formula to Find Lowest Common Multiple of 222,761,689,754

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.

222 x 761 x 689 x 754 = 87766382652

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.

222 : 1, 2, 3, 6, 37, 74, 111, 222

761 : 1, 761

689 : 1, 13, 53, 689

754 : 1, 2, 13, 26, 29, 58, 377, 754

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,761,689,754, is 1.

Now, the common factors can be found like this.

222:2x 3x 37

761:761

689:13x 53

754:2x 13x 29

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 87766382652/(1x26)

LCM = 87766382652/26

LCM = 3375630102

Thus, we can understand that the LCM of 222,761,689,754 is 3375630102.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 222, 761, 689, 754

1. What is the LCM of 222, 761, 689, 754?

Answer: LCM of 222, 761, 689, 754 is 3375630102.

2. How to calculate the LCM of 222, 761, 689, 754?

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 222, 761, 689, 754.

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}.