LCM of 775, 975, 835, 679, 277
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 975, 835, 679, 277 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 775, 975, 835, 679, 277. So, keep reading to learn more.
Given numbers are 775,975,835,679,277
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,975,835,679,277 is 949363048725.
Find LCM of 775,975,835,679,277 with Prime Factorization
| 5 | 775, 975, 835, 679, 277 |
| 5 | 155, 195, 167, 679, 277 |
| 31, 39, 167, 679, 277 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 31 x 39 x 167 x 679 x 277 = 949363048725
Therefore, the lowest common multiple of 775,975,835,679,277 is 949363048725.
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.
775 x 975 x 835 x 679 x 277 = 118670381090625
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.
775 : 1, 5, 25, 31, 155, 775
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
835 : 1, 5, 167, 835
679 : 1, 7, 97, 679
277 : 1, 277
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,975,835,679,277, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
975:3x 5x 5x 13
835:5x 167
679:7x 97
277:277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5 = 125
Therefore, the value for common factors is 125.
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 = 118670381090625/(1x125)
LCM = 118670381090625/125
LCM = 949363048725
Thus, we can understand that the LCM of 775,975,835,679,277 is 949363048725.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 775, 975, 835, 679, 277
1. What is the LCM of 775, 975, 835, 679, 277?
Answer: LCM of 775, 975, 835, 679, 277 is 949363048725.
2. How to calculate the LCM of 775, 975, 835, 679, 277?
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 775, 975, 835, 679, 277.
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}.