Least Common Multiple of 837/426, 9668/7101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 837/426, 9668/7101 quickly i.e. 2697372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 837/426, 9668/7101 is 2697372.

LCM(837/426, 9668/7101) = 2697372

LCM of 837/426, 9668/7101

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 837/426,9668/7101

Given numbers are 837/426,9668/7101

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 837,9668

Least Common Multiple of Numerators i.e. LCM of 837,9668 is 8092116.

GCF of Denominators means GCF of 426,7101 as per the given fractions.

GCF of 426,7101 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 837,9668

LCM of Fractions 837/426,9668/7101 is 2697372

Given numbers has no common factors except 1. So, there LCM is their product i.e 8092116

Least Common Multiple of 837,9668 with GCF Formula

Least Common Multiple of 837,9668 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 837,9668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,9668) = 1

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

GCF(837,9668) x common factors =1 x 1 = 1

LCM(837,9668) = ( 837 × 9668 ) / 1

LCM(837,9668) = 8092116 / 1

LCM(837,9668) = 8092116


Lets's calculate GCF of 426,7101

3 426, 7101
142, 2367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8092116/3

Therefore the LCM of Fractions 837/426,9668/7101 is 2697372

Greatest Common Factor of 426,7101 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,7101 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 7101

List of positive integer factors of 7101 that divides 7101 without a remainder.

1,3,9,27,263,789,2367,7101

Greatest Common Factor

We found the factors 426,7101 . The biggest common factor number is the GCF number.
So the greatest common factor 426,7101 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 837/426, 9668/7101

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 837/426, 9668/7101?

Answer: LCM of Numerators as per given numbers 837/426, 9668/7101 is

LCM of Numerators i.e. for 837,9668 is 8092116

GCF of denominators i.e. for 426,7101 is 3.

Thus, LCM of Fractions is 2697372.Finally, LCM of Fractions for 837/426, 9668/7101 is 2697372.