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LCM of 754, 969, 744, 652, 684

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


Find the LCM of 754, 969, 744, 652, 684 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 754, 969, 744, 652, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,969,744,652,684

Given numbers are 754,969,744,652,684

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

The LCM of 754,969,744,652,684 is 44302238136.

Find LCM of 754,969,744,652,684 with Prime Factorization


2 754, 969, 744, 652, 684
2 377, 969, 372, 326, 342
3 377, 969, 186, 163, 171
19 377, 323, 62, 163, 57
377, 17, 62, 163, 3

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

2 x 2 x 3 x 19 x 377 x 17 x 62 x 163 x 3 = 44302238136

Therefore, the lowest common multiple of 754,969,744,652,684 is 44302238136.

LCM Formula to Find Lowest Common Multiple of 754,969,744,652,684

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.

754 x 969 x 744 x 652 x 684 = 242421847080192

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.

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

652 : 1, 2, 4, 163, 326, 652

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,969,744,652,684, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

969:3x 17x 19

744:2x 2x 2x 3x 31

652:2x 2x 163

684:2x 2x 3x 3x 19

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 2x 3x 3x 19 = 5472

Therefore, the value for common factors is 5472.

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 = 242421847080192/(1x5472)

LCM = 242421847080192/5472

LCM = 44302238136

Thus, we can understand that the LCM of 754,969,744,652,684 is 44302238136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 969, 744, 652, 684

1. What is the LCM of 754, 969, 744, 652, 684?

Answer: LCM of 754, 969, 744, 652, 684 is 44302238136.

2. How to calculate the LCM of 754, 969, 744, 652, 684?

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 754, 969, 744, 652, 684.

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}.