LCM of 679, 653, 874, 763, 182
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 679, 653, 874, 763, 182 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 679, 653, 874, 763, 182. So, keep reading to learn more.
Given numbers are 679,653,874,763,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 679,653,874,763,182 is 549116177246.
Find LCM of 679,653,874,763,182 with Prime Factorization
| 2 | 679, 653, 874, 763, 182 |
| 7 | 679, 653, 437, 763, 91 |
| 97, 653, 437, 109, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 97 x 653 x 437 x 109 x 13 = 549116177246
Therefore, the lowest common multiple of 679,653,874,763,182 is 549116177246.
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.
679 x 653 x 874 x 763 x 182 = 53813385370108
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.
679 : 1, 7, 97, 679
653 : 1, 653
874 : 1, 2, 19, 23, 38, 46, 437, 874
763 : 1, 7, 109, 763
182 : 1, 2, 7, 13, 14, 26, 91, 182
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,653,874,763,182, is 1.
Now, the common factors can be found like this.
679:7x 97
653:653
874:2x 19x 23
763:7x 109
182:2x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7 = 98
Therefore, the value for common factors is 98.
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 = 53813385370108/(1x98)
LCM = 53813385370108/98
LCM = 549116177246
Thus, we can understand that the LCM of 679,653,874,763,182 is 549116177246.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 679, 653, 874, 763, 182
1. What is the LCM of 679, 653, 874, 763, 182?
Answer: LCM of 679, 653, 874, 763, 182 is 549116177246.
2. How to calculate the LCM of 679, 653, 874, 763, 182?
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 679, 653, 874, 763, 182.
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}.