Least Common Multiple of 9814/954, 9864/8155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9814/954, 9864/8155 quickly i.e. 48402648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9814/954, 9864/8155 is 48402648.

LCM(9814/954, 9864/8155) = 48402648

LCM of 9814/954, 9864/8155

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 9814/954,9864/8155

Given numbers are 9814/954,9864/8155

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 9814,9864

Least Common Multiple of Numerators i.e. LCM of 9814,9864 is 48402648.

GCF of Denominators means GCF of 954,8155 as per the given fractions.

GCF of 954,8155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9814,9864

LCM of Fractions 9814/954,9864/8155 is 48402648

2 9814, 9864
4907, 4932

∴ So the LCM of the given numbers is 2 x 4907 x 4932 = 48402648

Least Common Multiple of 9814,9864 with GCF Formula

Least Common Multiple of 9814,9864 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 9814,9864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9814,9864) = 2

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

GCF(9814,9864) x common factors =2 x 1 = 2

LCM(9814,9864) = ( 9814 × 9864 ) / 2

LCM(9814,9864) = 96805296 / 2

LCM(9814,9864) = 48402648


Lets's calculate GCF of 954,8155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48402648/1

Therefore the LCM of Fractions 9814/954,9864/8155 is 48402648

Greatest Common Factor of 954,8155 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,8155 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 8155

List of positive integer factors of 8155 that divides 8155 without a remainder.

1,5,7,35,233,1165,1631,8155

Greatest Common Factor

We found the factors 954,8155 . The biggest common factor number is the GCF number.
So the greatest common factor 954,8155 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9814/954, 9864/8155

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 9814/954, 9864/8155?

Answer: LCM of Numerators as per given numbers 9814/954, 9864/8155 is

LCM of Numerators i.e. for 9814,9864 is 48402648

GCF of denominators i.e. for 954,8155 is 1.

Thus, LCM of Fractions is 48402648.Finally, LCM of Fractions for 9814/954, 9864/8155 is 48402648.