Least Common Multiple of 341/402, 8923/3126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 341/402, 8923/3126 quickly i.e. 3042743/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 341/402, 8923/3126 is 3042743/6.

LCM(341/402, 8923/3126) = 3042743/6

LCM of 341/402, 8923/3126

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 341/402,8923/3126

Given numbers are 341/402,8923/3126

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 341,8923

Least Common Multiple of Numerators i.e. LCM of 341,8923 is 3042743.

GCF of Denominators means GCF of 402,3126 as per the given fractions.

GCF of 402,3126 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 341,8923

LCM of Fractions 341/402,8923/3126 is 3042743/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 3042743

Least Common Multiple of 341,8923 with GCF Formula

Least Common Multiple of 341,8923 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 341,8923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,8923) = 1

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

GCF(341,8923) x common factors =1 x 1 = 1

LCM(341,8923) = ( 341 × 8923 ) / 1

LCM(341,8923) = 3042743 / 1

LCM(341,8923) = 3042743


Lets's calculate GCF of 402,3126

2 402, 3126
3 201, 1563
67, 521

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3042743/6

Therefore the LCM of Fractions 341/402,8923/3126 is 3042743/6

Greatest Common Factor of 402,3126 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,3126 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 3126

List of positive integer factors of 3126 that divides 3126 without a remainder.

1,2,3,6,521,1042,1563,3126

Greatest Common Factor

We found the factors 402,3126 . The biggest common factor number is the GCF number.
So the greatest common factor 402,3126 is 6.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 341/402, 8923/3126

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 341/402, 8923/3126?

Answer: LCM of Numerators as per given numbers 341/402, 8923/3126 is

LCM of Numerators i.e. for 341,8923 is 3042743

GCF of denominators i.e. for 402,3126 is 6.

Thus, LCM of Fractions is 3042743/6.Finally, LCM of Fractions for 341/402, 8923/3126 is 3042743/6.