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The LCM of the numbers 5, 12.5 and 0.05 is:
125
12.5
25
25
25
Convert decimals to fractions with a common denominator of 100, then find the LCM of the numerators directly: LCM(500/100,1250/100,5/100)=LCM(500,1250,5)/100.
The numbers are 5, 12.5, and 0.05.
LCM(a,b,c)=HCF(denominators)LCM(numerators)тАЛ
Convert decimals to fractions with a common denominator of 100, then find the LCM of the numerators directly: LCM(500/100,1250/100,5/100)=LCM(500,1250,5)/100.
Many students try to calculate the LCM of the decimal numbers directly without converting them into fractions, which leads to incorrect results.
Convert to fractions
Convert each decimal to a fraction with a common denominator to simplify the calculation: 5=100500тАЛ, 12.5=1001250тАЛ, 0.05=1005тАЛ.
100500тАЛ,1001250тАЛ,1005тАЛ
Apply LCM of fractions formula
Use the formula for the LCM of fractions: LCM=HCF(denominators)LCM(numerators)тАЛ. Here, LCM(500,1250,5)=2500 and HCF(100,100,100)=100.
LCM=HCF(100,100,100)LCM(500,1250,5)тАЛ
Calculate result
Divide the numerator LCM by the denominator HCF to find the final value: 1002500тАЛ=25.
1002500тАЛ=25
D is correct because the LCM of 5, 12.5, and 0.05 is 25.
This method works for any set of fractions or decimals; always normalize the denominator first to avoid errors.
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