LCM of 375, 974, 765, 671, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 375, 974, 765, 671, 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 375, 974, 765, 671, 175. So, keep reading to learn more.
Given numbers are 375,974,765,671,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,974,765,671,175 is 87494541750.
Find LCM of 375,974,765,671,175 with Prime Factorization
| 3 | 375, 974, 765, 671, 175 |
| 5 | 125, 974, 255, 671, 175 |
| 5 | 25, 974, 51, 671, 35 |
| 5, 974, 51, 671, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 5 x 974 x 51 x 671 x 7 = 87494541750
Therefore, the lowest common multiple of 375,974,765,671,175 is 87494541750.
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.
375 x 974 x 765 x 671 x 175 = 32810453156250
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.
375 : 1, 3, 5, 15, 25, 75, 125, 375
974 : 1, 2, 487, 974
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
671 : 1, 11, 61, 671
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 375,974,765,671,175, is 1.
Now, the common factors can be found like this.
375:3x 5x 5x 5
974:2x 487
765:3x 3x 5x 17
671:11x 61
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.
3x 5x 5x 5 = 375
Therefore, the value for common factors is 375.
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 = 32810453156250/(1x375)
LCM = 32810453156250/375
LCM = 87494541750
Thus, we can understand that the LCM of 375,974,765,671,175 is 87494541750.
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FAQs on LCM of 375, 974, 765, 671, 175
1. What is the LCM of 375, 974, 765, 671, 175?
Answer: LCM of 375, 974, 765, 671, 175 is 87494541750.
2. How to calculate the LCM of 375, 974, 765, 671, 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 375, 974, 765, 671, 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}.