LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 974, 345, 487, 263

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 974, 345, 487, 263 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 974, 345, 487, 263. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 974,345,487,263

Given numbers are 974,345,487,263

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

The LCM of 974,345,487,263 is 88375890.

Find LCM of 974,345,487,263 with Prime Factorization


487 974, 345, 487, 263
2, 345, 1, 263

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

487 x 2 x 345 x 1 x 263 = 88375890

Therefore, the lowest common multiple of 974,345,487,263 is 88375890.

LCM Formula to Find Lowest Common Multiple of 974,345,487,263

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.

974 x 345 x 487 x 263 = 43039058430

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.

974 : 1, 2, 487, 974

345 : 1, 3, 5, 15, 23, 69, 115, 345

487 : 1, 487

263 : 1, 263

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,345,487,263, is 1.

Now, the common factors can be found like this.

974:2x 487

345:3x 5x 23

487:487

263:263

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

487 = 487

Therefore, the value for common factors is 487.

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 = 43039058430/(1x487)

LCM = 43039058430/487

LCM = 88375890

Thus, we can understand that the LCM of 974,345,487,263 is 88375890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 974, 345, 487, 263

1. What is the LCM of 974, 345, 487, 263?

Answer: LCM of 974, 345, 487, 263 is 88375890.

2. How to calculate the LCM of 974, 345, 487, 263?

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 974, 345, 487, 263.

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}.