Given numbers are 471,113,314,175

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 471,113,314,175 is 18628050.

Find LCM of 471,113,314,175 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

157 x 3 x 113 x 2 x 175 = 18628050

Therefore, the lowest common multiple of 471,113,314,175 is 18628050.

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.

471 x 113 x 314 x 175 = 2924603850

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.

471 : 1, 3, 157, 471

113 : 1, 113

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 471,113,314,175, is 1.

Now, the common factors can be found like this.

471:3x 157

113:113

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.

157 = 157

Therefore, the value for common factors is 157.

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 = 2924603850/(1x157)

LCM = 2924603850/157

LCM = 18628050

Thus, we can understand that the LCM of 471,113,314,175 is 18628050.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 654, 325, 639, 522
• LCM of 469, 401, 824, 516
• LCM of 336, 382, 155, 291
• LCM of 306, 523, 438, 213
• LCM of 494, 495, 630, 905

1. What is the LCM of 471, 113, 314, 175?

Answer: LCM of 471, 113, 314, 175 is 18628050.

2. How to calculate the LCM of 471, 113, 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 471, 113, 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}.