LCM of 719, 690, 465, 948, 142
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 719, 690, 465, 948, 142 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 719, 690, 465, 948, 142. So, keep reading to learn more.
Given numbers are 719,690,465,948,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,690,465,948,142 is 172526221380.
Find LCM of 719,690,465,948,142 with Prime Factorization
| 2 | 719, 690, 465, 948, 142 |
| 3 | 719, 345, 465, 474, 71 |
| 5 | 719, 115, 155, 158, 71 |
| 719, 23, 31, 158, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 719 x 23 x 31 x 158 x 71 = 172526221380
Therefore, the lowest common multiple of 719,690,465,948,142 is 172526221380.
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.
719 x 690 x 465 x 948 x 142 = 31054719848400
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.
719 : 1, 719
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
465 : 1, 3, 5, 15, 31, 93, 155, 465
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,690,465,948,142, is 1.
Now, the common factors can be found like this.
719:719
690:2x 3x 5x 23
465:3x 5x 31
948:2x 2x 3x 79
142:2x 71
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 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 31054719848400/(1x180)
LCM = 31054719848400/180
LCM = 172526221380
Thus, we can understand that the LCM of 719,690,465,948,142 is 172526221380.
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FAQs on LCM of 719, 690, 465, 948, 142
1. What is the LCM of 719, 690, 465, 948, 142?
Answer: LCM of 719, 690, 465, 948, 142 is 172526221380.
2. How to calculate the LCM of 719, 690, 465, 948, 142?
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 719, 690, 465, 948, 142.
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}.