LCM of 703, 715, 714, 142, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 715, 714, 142, 175 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 703, 715, 714, 142, 175. So, keep reading to learn more.
Given numbers are 703,715,714,142,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,715,714,142,175 is 127405428150.
Find LCM of 703,715,714,142,175 with Prime Factorization
| 2 | 703, 715, 714, 142, 175 |
| 5 | 703, 715, 357, 71, 175 |
| 7 | 703, 143, 357, 71, 35 |
| 703, 143, 51, 71, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 703 x 143 x 51 x 71 x 5 = 127405428150
Therefore, the lowest common multiple of 703,715,714,142,175 is 127405428150.
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.
703 x 715 x 714 x 142 x 175 = 8918379970500
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.
703 : 1, 19, 37, 703
715 : 1, 5, 11, 13, 55, 65, 143, 715
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
142 : 1, 2, 71, 142
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,715,714,142,175, is 1.
Now, the common factors can be found like this.
703:19x 37
715:5x 11x 13
714:2x 3x 7x 17
142:2x 71
175:5x 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 5x 7 = 70
Therefore, the value for common factors is 70.
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 = 8918379970500/(1x70)
LCM = 8918379970500/70
LCM = 127405428150
Thus, we can understand that the LCM of 703,715,714,142,175 is 127405428150.
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FAQs on LCM of 703, 715, 714, 142, 175
1. What is the LCM of 703, 715, 714, 142, 175?
Answer: LCM of 703, 715, 714, 142, 175 is 127405428150.
2. How to calculate the LCM of 703, 715, 714, 142, 175?
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 703, 715, 714, 142, 175.
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}.