LCM of 278, 176, 314, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 176, 314, 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 278, 176, 314, 175. So, keep reading to learn more.
Given numbers are 278,176,314,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,176,314,175 is 672148400.
Find LCM of 278,176,314,175 with Prime Factorization
| 2 | 278, 176, 314, 175 |
| 139, 88, 157, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 139 x 88 x 157 x 175 = 672148400
Therefore, the lowest common multiple of 278,176,314,175 is 672148400.
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.
278 x 176 x 314 x 175 = 2688593600
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.
278 : 1, 2, 139, 278
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
314 : 1, 2, 157, 314
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 278,176,314,175, is 1.
Now, the common factors can be found like this.
278:2x 139
176:2x 2x 2x 2x 11
314:2x 157
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 2 = 4
Therefore, the value for common factors is 4.
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 = 2688593600/(1x4)
LCM = 2688593600/4
LCM = 672148400
Thus, we can understand that the LCM of 278,176,314,175 is 672148400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 278, 176, 314, 175
1. What is the LCM of 278, 176, 314, 175?
Answer: LCM of 278, 176, 314, 175 is 672148400.
2. How to calculate the LCM of 278, 176, 314, 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 278, 176, 314, 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}.