Least Common Multiple of 414/898, 9845/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 414/898, 9845/351 quickly i.e. 4075830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/898, 9845/351 is 4075830.

LCM(414/898, 9845/351) = 4075830

LCM of 414/898, 9845/351

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 414/898,9845/351

Given numbers are 414/898,9845/351

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 414,9845

Least Common Multiple of Numerators i.e. LCM of 414,9845 is 4075830.

GCF of Denominators means GCF of 898,351 as per the given fractions.

GCF of 898,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,9845

LCM of Fractions 414/898,9845/351 is 4075830

Given numbers has no common factors except 1. So, there LCM is their product i.e 4075830

Least Common Multiple of 414,9845 with GCF Formula

Least Common Multiple of 414,9845 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 414,9845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,9845) = 1

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

GCF(414,9845) x common factors =1 x 1 = 1

LCM(414,9845) = ( 414 × 9845 ) / 1

LCM(414,9845) = 4075830 / 1

LCM(414,9845) = 4075830


Lets's calculate GCF of 898,351

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4075830/1

Therefore the LCM of Fractions 414/898,9845/351 is 4075830

Greatest Common Factor of 898,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,351 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 898,351 . The biggest common factor number is the GCF number.
So the greatest common factor 898,351 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 414/898, 9845/351

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 414/898, 9845/351?

Answer: LCM of Numerators as per given numbers 414/898, 9845/351 is

LCM of Numerators i.e. for 414,9845 is 4075830

GCF of denominators i.e. for 898,351 is 1.

Thus, LCM of Fractions is 4075830.Finally, LCM of Fractions for 414/898, 9845/351 is 4075830.