Least Common Multiple of 702/855, 1661/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 702/855, 1661/906 quickly i.e. 388674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 702/855, 1661/906 is 388674.

LCM(702/855, 1661/906) = 388674

LCM of 702/855, 1661/906

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 702/855,1661/906

Given numbers are 702/855,1661/906

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 702,1661

Least Common Multiple of Numerators i.e. LCM of 702,1661 is 1166022.

GCF of Denominators means GCF of 855,906 as per the given fractions.

GCF of 855,906 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 702,1661

LCM of Fractions 702/855,1661/906 is 388674

Given numbers has no common factors except 1. So, there LCM is their product i.e 1166022

Least Common Multiple of 702,1661 with GCF Formula

Least Common Multiple of 702,1661 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 702,1661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,1661) = 1

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

GCF(702,1661) x common factors =1 x 1 = 1

LCM(702,1661) = ( 702 × 1661 ) / 1

LCM(702,1661) = 1166022 / 1

LCM(702,1661) = 1166022


Lets's calculate GCF of 855,906

3 855, 906
285, 302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1166022/3

Therefore the LCM of Fractions 702/855,1661/906 is 388674

Greatest Common Factor of 855,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,906 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 855,906 . The biggest common factor number is the GCF number.
So the greatest common factor 855,906 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 702/855, 1661/906

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 702/855, 1661/906?

Answer: LCM of Numerators as per given numbers 702/855, 1661/906 is

LCM of Numerators i.e. for 702,1661 is 1166022

GCF of denominators i.e. for 855,906 is 3.

Thus, LCM of Fractions is 388674.Finally, LCM of Fractions for 702/855, 1661/906 is 388674.