LCM for 10 and 48

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What's the Least Common Multiple (LCM) of 10 and 48?

Answer

LCM of 10 and 48 is
240

First common multiples: 240, 480, 720, …

240 is divisible by both: 240 ÷ 10 = 24, 240 ÷ 48 = 5 — and 24 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 24 and of y/48 by 5.

10 = 2 × 5

48 = 24 × 3

Prime1048Highest power
222424
3—33
55—5

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 24 × 3 × 5 = 240

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LCM Table

Number 1Number 2LCM
1024120
102550
1027270
103030
1031310
1034170
103570
1036180
1038190
104040
1041410
1043430
1044220
104590
1046230
1048240
105050
1051510
1053530
1055110
1058290
1059590
106060
1065130
1066330
107070
1075150
108080
109090
1095190

FAQ

What's the Least Common Multiple (LCM) of 10 and 48?

LCM of 10 and 48 is 240

How to find the LCM of 10 and 48 using prime factorization?

To find the LCM of 10 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 240.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 10 and 48: LCM = 240, GCF = 2.

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