Find the LCM of 711, 572, 956, 375, 840 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 711, 572, 956, 375, 840. So, keep reading to learn more.
Given numbers are 711,572,956,375,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,572,956,375,840 is 170098929000.
Find LCM of 711,572,956,375,840 with Prime Factorization
2 | 711, 572, 956, 375, 840 |
2 | 711, 286, 478, 375, 420 |
3 | 711, 143, 239, 375, 210 |
5 | 237, 143, 239, 125, 70 |
237, 143, 239, 25, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 237 x 143 x 239 x 25 x 14 = 170098929000
Therefore, the lowest common multiple of 711,572,956,375,840 is 170098929000.
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.
711 x 572 x 956 x 375 x 840 = 122471228880000
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.
711 : 1, 3, 9, 79, 237, 711
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
956 : 1, 2, 4, 239, 478, 956
375 : 1, 3, 5, 15, 25, 75, 125, 375
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,572,956,375,840, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
572:2x 2x 11x 13
956:2x 2x 239
375:3x 5x 5x 5
840:2x 2x 2x 3x 5x 7
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 2x 2x 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 122471228880000/(1x720)
LCM = 122471228880000/720
LCM = 170098929000
Thus, we can understand that the LCM of 711,572,956,375,840 is 170098929000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 711, 572, 956, 375, 840?
Answer: LCM of 711, 572, 956, 375, 840 is 170098929000.
2. How to calculate the LCM of 711, 572, 956, 375, 840?
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 711, 572, 956, 375, 840.
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}.