Given numbers are 971,254,750,976,110

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

The LCM of 971,254,750,976,110 is 496474242000.

Find LCM of 971,254,750,976,110 with Prime Factorization

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

2 x 5 x 971 x 127 x 75 x 488 x 11 = 496474242000

Therefore, the lowest common multiple of 971,254,750,976,110 is 496474242000.

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.

971 x 254 x 750 x 976 x 110 = 19858969680000

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.

971 : 1, 971

254 : 1, 2, 127, 254

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,254,750,976,110, is 1.

Now, the common factors can be found like this.

971:971

254:2x 127

750:2x 3x 5x 5x 5

976:2x 2x 2x 2x 61

110:2x 5x 11

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

2x 2x 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 19858969680000/(1x40)

LCM = 19858969680000/40

LCM = 496474242000

Thus, we can understand that the LCM of 971,254,750,976,110 is 496474242000.

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

• LCM of 977, 370, 569, 226, 109
• LCM of 711, 239, 830, 435, 836
• LCM of 848, 164, 595, 166, 542
• LCM of 857, 898, 341, 596, 948
• LCM of 181, 122, 802, 173, 285

1. What is the LCM of 971, 254, 750, 976, 110?

Answer: LCM of 971, 254, 750, 976, 110 is 496474242000.

2. How to calculate the LCM of 971, 254, 750, 976, 110?

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 971, 254, 750, 976, 110.

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}.