The solution to lcm 125,50 is 250

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Find the LCM 125 , 50

Solution

lcm

125, 50

250

Solution steps

125, 50

Prime factorization of

125 : 5 \cdot 5 \cdot 5

125

125

divides by

5125 = 25 \cdot 5

= 5 \cdot 25

25

divides by

525 = 5 \cdot 5

= 5 \cdot 5 \cdot 5

Prime factorization of

50 : 2 \cdot 5 \cdot 5

50

50

divides by

250 = 25 \cdot 2

= 2 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 5 \cdot 5

Multiply each factor the greatest number of times it occurs in either

125

50

= 5 \cdot 5 \cdot 5 \cdot 2

Multiply the numbers:

5 \cdot 5 \cdot 5 \cdot 2 = 250

= 250

\frac{45}{16}

180 - 138

54, 81

6.1

\frac{192}{2}