Least Common Multiple of 1150/35, 8034/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1150/35, 8034/324 quickly i.e. 4619550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1150/35, 8034/324 is 4619550.

LCM(1150/35, 8034/324) = 4619550

LCM of 1150/35, 8034/324

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 1150/35,8034/324

Given numbers are 1150/35,8034/324

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 1150,8034

Least Common Multiple of Numerators i.e. LCM of 1150,8034 is 4619550.

GCF of Denominators means GCF of 35,324 as per the given fractions.

GCF of 35,324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1150,8034

LCM of Fractions 1150/35,8034/324 is 4619550

2 1150, 8034
575, 4017

∴ So the LCM of the given numbers is 2 x 575 x 4017 = 4619550

Least Common Multiple of 1150,8034 with GCF Formula

Least Common Multiple of 1150,8034 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 1150,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1150,8034) = 2

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

GCF(1150,8034) x common factors =2 x 1 = 2

LCM(1150,8034) = ( 1150 × 8034 ) / 2

LCM(1150,8034) = 9239100 / 2

LCM(1150,8034) = 4619550


Lets's calculate GCF of 35,324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4619550/1

Therefore the LCM of Fractions 1150/35,8034/324 is 4619550

Greatest Common Factor of 35,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,324 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 35,324 . The biggest common factor number is the GCF number.
So the greatest common factor 35,324 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1150/35, 8034/324

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 1150/35, 8034/324?

Answer: LCM of Numerators as per given numbers 1150/35, 8034/324 is

LCM of Numerators i.e. for 1150,8034 is 4619550

GCF of denominators i.e. for 35,324 is 1.

Thus, LCM of Fractions is 4619550.Finally, LCM of Fractions for 1150/35, 8034/324 is 4619550.