LCM of 695, 649, 790, 948, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 649, 790, 948, 342 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 695, 649, 790, 948, 342. So, keep reading to learn more.
Given numbers are 695,649,790,948,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,649,790,948,342 is 24373207980.
Find LCM of 695,649,790,948,342 with Prime Factorization
| 2 | 695, 649, 790, 948, 342 |
| 3 | 695, 649, 395, 474, 171 |
| 5 | 695, 649, 395, 158, 57 |
| 79 | 139, 649, 79, 158, 57 |
| 139, 649, 1, 2, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 79 x 139 x 649 x 1 x 2 x 57 = 24373207980
Therefore, the lowest common multiple of 695,649,790,948,342 is 24373207980.
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.
695 x 649 x 790 x 948 x 342 = 115529005825200
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.
695 : 1, 5, 139, 695
649 : 1, 11, 59, 649
790 : 1, 2, 5, 10, 79, 158, 395, 790
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,649,790,948,342, is 1.
Now, the common factors can be found like this.
695:5x 139
649:11x 59
790:2x 5x 79
948:2x 2x 3x 79
342:2x 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 3x 5x 79 = 4740
Therefore, the value for common factors is 4740.
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 = 115529005825200/(1x4740)
LCM = 115529005825200/4740
LCM = 24373207980
Thus, we can understand that the LCM of 695,649,790,948,342 is 24373207980.
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FAQs on LCM of 695, 649, 790, 948, 342
1. What is the LCM of 695, 649, 790, 948, 342?
Answer: LCM of 695, 649, 790, 948, 342 is 24373207980.
2. How to calculate the LCM of 695, 649, 790, 948, 342?
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 695, 649, 790, 948, 342.
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}.