Least Common Multiple of 9894/876, 3414/1690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9894/876, 3414/1690 quickly i.e. 2814843 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9894/876, 3414/1690 is 2814843.

LCM(9894/876, 3414/1690) = 2814843

LCM of 9894/876, 3414/1690

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 9894/876,3414/1690

Given numbers are 9894/876,3414/1690

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 9894,3414

Least Common Multiple of Numerators i.e. LCM of 9894,3414 is 5629686.

GCF of Denominators means GCF of 876,1690 as per the given fractions.

GCF of 876,1690 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9894,3414

LCM of Fractions 9894/876,3414/1690 is 2814843

2 9894, 3414
3 4947, 1707
1649, 569

∴ So the LCM of the given numbers is 2 x 3 x 1649 x 569 = 5629686

Least Common Multiple of 9894,3414 with GCF Formula

Least Common Multiple of 9894,3414 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 9894,3414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9894,3414) = 6

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

GCF(9894,3414) x common factors =6 x 1 = 6

LCM(9894,3414) = ( 9894 × 3414 ) / 6

LCM(9894,3414) = 33778116 / 6

LCM(9894,3414) = 5629686


Lets's calculate GCF of 876,1690

2 876, 1690
438, 845

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5629686/2

Therefore the LCM of Fractions 9894/876,3414/1690 is 2814843

Greatest Common Factor of 876,1690 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,1690 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 1690

List of positive integer factors of 1690 that divides 1690 without a remainder.

1,2,5,10,13,26,65,130,169,338,845,1690

Greatest Common Factor

We found the factors 876,1690 . The biggest common factor number is the GCF number.
So the greatest common factor 876,1690 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9894/876, 3414/1690

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 9894/876, 3414/1690?

Answer: LCM of Numerators as per given numbers 9894/876, 3414/1690 is

LCM of Numerators i.e. for 9894,3414 is 5629686

GCF of denominators i.e. for 876,1690 is 2.

Thus, LCM of Fractions is 2814843.Finally, LCM of Fractions for 9894/876, 3414/1690 is 2814843.