Least Common Multiple of 4396/962, 2864/8174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4396/962, 2864/8174 quickly i.e. 1573768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4396/962, 2864/8174 is 1573768.

LCM(4396/962, 2864/8174) = 1573768

LCM of 4396/962, 2864/8174

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 4396/962,2864/8174

Given numbers are 4396/962,2864/8174

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 4396,2864

Least Common Multiple of Numerators i.e. LCM of 4396,2864 is 3147536.

GCF of Denominators means GCF of 962,8174 as per the given fractions.

GCF of 962,8174 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4396,2864

LCM of Fractions 4396/962,2864/8174 is 1573768

2 4396, 2864
2 2198, 1432
1099, 716

∴ So the LCM of the given numbers is 2 x 2 x 1099 x 716 = 3147536

Least Common Multiple of 4396,2864 with GCF Formula

Least Common Multiple of 4396,2864 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 4396,2864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4396,2864) = 4

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

GCF(4396,2864) x common factors =4 x 1 = 4

LCM(4396,2864) = ( 4396 × 2864 ) / 4

LCM(4396,2864) = 12590144 / 4

LCM(4396,2864) = 3147536


Lets's calculate GCF of 962,8174

2 962, 8174
481, 4087

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3147536/2

Therefore the LCM of Fractions 4396/962,2864/8174 is 1573768

Greatest Common Factor of 962,8174 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,8174 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 8174

List of positive integer factors of 8174 that divides 8174 without a remainder.

1,2,61,67,122,134,4087,8174

Greatest Common Factor

We found the factors 962,8174 . The biggest common factor number is the GCF number.
So the greatest common factor 962,8174 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 4396/962, 2864/8174

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 4396/962, 2864/8174?

Answer: LCM of Numerators as per given numbers 4396/962, 2864/8174 is

LCM of Numerators i.e. for 4396,2864 is 3147536

GCF of denominators i.e. for 962,8174 is 2.

Thus, LCM of Fractions is 1573768.Finally, LCM of Fractions for 4396/962, 2864/8174 is 1573768.