Least Common Multiple of 8702/45, 1386/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8702/45, 1386/888 quickly i.e. 2010162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8702/45, 1386/888 is 2010162.

LCM(8702/45, 1386/888) = 2010162

LCM of 8702/45, 1386/888

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 8702/45,1386/888

Given numbers are 8702/45,1386/888

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 8702,1386

Least Common Multiple of Numerators i.e. LCM of 8702,1386 is 6030486.

GCF of Denominators means GCF of 45,888 as per the given fractions.

GCF of 45,888 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8702,1386

LCM of Fractions 8702/45,1386/888 is 2010162

2 8702, 1386
4351, 693

∴ So the LCM of the given numbers is 2 x 4351 x 693 = 6030486

Least Common Multiple of 8702,1386 with GCF Formula

Least Common Multiple of 8702,1386 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 8702,1386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8702,1386) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(8702,1386) x common factors =2 x 1 = 2

LCM(8702,1386) = ( 8702 × 1386 ) / 2

LCM(8702,1386) = 12060972 / 2

LCM(8702,1386) = 6030486


Lets's calculate GCF of 45,888

3 45, 888
15, 296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6030486/3

Therefore the LCM of Fractions 8702/45,1386/888 is 2010162

Greatest Common Factor of 45,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,888 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 45,888 . The biggest common factor number is the GCF number.
So the greatest common factor 45,888 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8702/45, 1386/888

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 8702/45, 1386/888?

Answer: LCM of Numerators as per given numbers 8702/45, 1386/888 is

LCM of Numerators i.e. for 8702,1386 is 6030486

GCF of denominators i.e. for 45,888 is 3.

Thus, LCM of Fractions is 2010162.Finally, LCM of Fractions for 8702/45, 1386/888 is 2010162.