求最大最小因倍数 69和23 26和39 60和16 10和20 32和96和12 12和36和24 12和4和8 15和25 8和20 3和9和12

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2025-04-03 13:48:37
推荐回答(2个)
回答1:

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最小公倍数 最大公因数
69和23 69 23
26和39 78 13
60和16 240 4
10和20 20 10
32和96和12 96 4
12和36和24 96 12
12和4和8 24 4
15和25 75 5
8和20 40 4
3和9和12 36 3
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选为满意答案

回答2:

1.
69和23
∵69=3×23 ,23=1×23
∴69和23的最小公倍数是3×23=69,最大公因数是23.
2.
26和39
∵26=2×13,39=3×13,
∴26和39的最小公倍数是2×3×13=78,最大公因数是13.
3.
60和16
∵60=2²×3×5,16=2²×2²
∴60和16的最小公倍数是2²×2²×3×5=240,最大公因数是2²=4.
4.
10和20
∵10=2×5,20=2²×5
∴10和20的最小公倍数是2²×5=240,最大公因数是2×5=10.
5.
32和96和12
∵32=2²×2³,96=32×3=12×6=2²×2³×3,12=2²×3
∴32和96和12的最小公倍数是2²×2³×3=96,最大公因数是2²=4.
6.
12和36和24
∵12=2²×3,36=3×12=2²×3²,24=2³×3
∴12和36和24的最小公倍数是2³×3²=72,最大公因数是2²×3=12.
7.
12和4和8
∵12=2²×3,4=2²,8=2³
∴12和4和8的最小公倍数是2³×3=24,最大公因数是2²=4.
8.
15和25
∵15=3×5,25=5²
∴15和25的最小公倍数是3×5²=75,最大公因数是5.
9.
8和20
∵8=2³,20=2²×5
∴8和20的最小公倍数是2³×5=40,最大公因数是2²=4.
3和9和12
∵3=3,9=3²,12=2²×3
∴3和9和12的最小公倍数是2²×3²=36,最大公因数是3.

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