LCM of 679, 322, 506, 970, 653
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 679, 322, 506, 970, 653 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, 322, 506, 970, 653. So, keep reading to learn more.
Given numbers are 679,322,506,970,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 679,322,506,970,653 is 1121769110.
Find LCM of 679,322,506,970,653 with Prime Factorization
| 2 | 679, 322, 506, 970, 653 |
| 7 | 679, 161, 253, 485, 653 |
| 23 | 97, 23, 253, 485, 653 |
| 97 | 97, 1, 11, 485, 653 |
| 1, 1, 11, 5, 653 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 97 x 1 x 1 x 11 x 5 x 653 = 1121769110
Therefore, the lowest common multiple of 679,322,506,970,653 is 1121769110.
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 322 x 506 x 970 x 653 = 70074672763480
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
322 : 1, 2, 7, 14, 23, 46, 161, 322
506 : 1, 2, 11, 22, 23, 46, 253, 506
970 : 1, 2, 5, 10, 97, 194, 485, 970
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,322,506,970,653, is 1.
Now, the common factors can be found like this.
679:7x 97
322:2x 7x 23
506:2x 11x 23
970:2x 5x 97
653:653
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 7x 23x 97 = 62468
Therefore, the value for common factors is 62468.
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 = 70074672763480/(1x62468)
LCM = 70074672763480/62468
LCM = 1121769110
Thus, we can understand that the LCM of 679,322,506,970,653 is 1121769110.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 679, 322, 506, 970, 653
1. What is the LCM of 679, 322, 506, 970, 653?
Answer: LCM of 679, 322, 506, 970, 653 is 1121769110.
2. How to calculate the LCM of 679, 322, 506, 970, 653?
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, 322, 506, 970, 653.
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}.