LCM of 692, 594, 748, 828, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 594, 748, 828, 759 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 692, 594, 748, 828, 759. So, keep reading to learn more.
Given numbers are 692,594,748,828,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,594,748,828,759 is 80359884.
Find LCM of 692,594,748,828,759 with Prime Factorization
| 2 | 692, 594, 748, 828, 759 |
| 2 | 346, 297, 374, 414, 759 |
| 3 | 173, 297, 187, 207, 759 |
| 3 | 173, 99, 187, 69, 253 |
| 11 | 173, 33, 187, 23, 253 |
| 23 | 173, 3, 17, 23, 23 |
| 173, 3, 17, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 23 x 173 x 3 x 17 x 1 x 1 = 80359884
Therefore, the lowest common multiple of 692,594,748,828,759 is 80359884.
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.
692 x 594 x 748 x 828 x 759 = 193226305396608
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.
692 : 1, 2, 4, 173, 346, 692
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,594,748,828,759, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
594:2x 3x 3x 3x 11
748:2x 2x 11x 17
828:2x 2x 3x 3x 23
759:3x 11x 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 2x 2x 2x 2x 3x 3x 3x 11x 11x 23 = 2404512
Therefore, the value for common factors is 2404512.
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 = 193226305396608/(1x2404512)
LCM = 193226305396608/2404512
LCM = 80359884
Thus, we can understand that the LCM of 692,594,748,828,759 is 80359884.
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FAQs on LCM of 692, 594, 748, 828, 759
1. What is the LCM of 692, 594, 748, 828, 759?
Answer: LCM of 692, 594, 748, 828, 759 is 80359884.
2. How to calculate the LCM of 692, 594, 748, 828, 759?
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 692, 594, 748, 828, 759.
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}.