Least Common Multiple of 748/216, 183/255, 990/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 748/216, 183/255, 990/117 quickly i.e. 684420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 748/216, 183/255, 990/117 is 684420.

LCM(748/216, 183/255, 990/117) = 684420

LCM of 748/216, 183/255, 990/117

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 748/216,183/255,990/117

Given numbers are 748/216,183/255,990/117

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 748,183,990

Least Common Multiple of Numerators i.e. LCM of 748,183,990 is 2053260.

GCF of Denominators means GCF of 216,255,117 as per the given fractions.

GCF of 216,255,117 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 748,183,990

LCM of Fractions 748/216,183/255,990/117 is 684420

2 748, 183, 990
3 374, 183, 495
11 374, 61, 165
34, 61, 15

∴ So the LCM of the given numbers is 2 x 3 x 11 x 34 x 61 x 15 = 2053260

Least Common Multiple of 748,183,990 with GCF Formula

Least Common Multiple of 748,183,990 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 748,183,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,183,990) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(748,183,990) x common factors =1 x 66 = 66

LCM(748,183,990) = ( 748 × 183 × 990 ) / 66

LCM(748,183,990) = 135515160 / 66

LCM(748,183,990) = 2053260


Lets's calculate GCF of 216,255,117

3 216, 255, 117
72, 85, 39

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2053260/3

Therefore the LCM of Fractions 748/216,183/255,990/117 is 684420

Greatest Common Factor of 216,255,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,255,117 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 216,255,117 . The biggest common factor number is the GCF number.
So the greatest common factor 216,255,117 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 748/216, 183/255, 990/117

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 748/216, 183/255, 990/117?

Answer: LCM of Numerators as per given numbers 748/216, 183/255, 990/117 is

LCM of Numerators i.e. for 748,183,990 is 2053260

GCF of denominators i.e. for 216,255,117 is 3.

Thus, LCM of Fractions is 684420.Finally, LCM of Fractions for 748/216, 183/255, 990/117 is 684420.