Question

Do the LCM of 12,500 and 27,000 and -343 and 62,500​

Answer 1

Answer:

1157625000

Step-by-step explanation:

• Negative signs are ignored

#1 Write down all of the numbers as a product of their prime factors:

• Prime factorisation of 12500:

2 * 2 * 5 * 5 * 5 * 5 * 5 = 22 * 55

• Prime factorisation of 27000:

2 * 2 * 2 * 3 * 3 * 3 * 5 * 5 * 5 = 23 * 33 * 53

• Prime factorisation of 343:

7 * 7 * 7 = 73

• Prime factorisation of 62500:

2 * 2 * 5 * 5 * 5 * 5 * 5 * 5 = 22 * 56

#2 Find highest power of each prime number:

23 , 56 , 33 , 73

#3 Multiply these values together:

23 * 56 * 33 * 73 = 1157625000

Thus,

LCM(12500,27000,-343,62500) = 1157625000