Least Common Multiple of 1134/370, 2705/8143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1134/370, 2705/8143 quickly i.e. 3067470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1134/370, 2705/8143 is 3067470.

LCM(1134/370, 2705/8143) = 3067470

LCM of 1134/370, 2705/8143

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 1134/370,2705/8143

Given numbers are 1134/370,2705/8143

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 1134,2705

Least Common Multiple of Numerators i.e. LCM of 1134,2705 is 3067470.

GCF of Denominators means GCF of 370,8143 as per the given fractions.

GCF of 370,8143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1134,2705

LCM of Fractions 1134/370,2705/8143 is 3067470

Given numbers has no common factors except 1. So, there LCM is their product i.e 3067470

Least Common Multiple of 1134,2705 with GCF Formula

Least Common Multiple of 1134,2705 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 1134,2705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1134,2705) = 1

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

GCF(1134,2705) x common factors =1 x 1 = 1

LCM(1134,2705) = ( 1134 × 2705 ) / 1

LCM(1134,2705) = 3067470 / 1

LCM(1134,2705) = 3067470


Lets's calculate GCF of 370,8143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3067470/1

Therefore the LCM of Fractions 1134/370,2705/8143 is 3067470

Greatest Common Factor of 370,8143 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,8143 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 8143

List of positive integer factors of 8143 that divides 8143 without a remainder.

1,17,479,8143

Greatest Common Factor

We found the factors 370,8143 . The biggest common factor number is the GCF number.
So the greatest common factor 370,8143 is 1.


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 1134/370, 2705/8143

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 1134/370, 2705/8143?

Answer: LCM of Numerators as per given numbers 1134/370, 2705/8143 is

LCM of Numerators i.e. for 1134,2705 is 3067470

GCF of denominators i.e. for 370,8143 is 1.

Thus, LCM of Fractions is 3067470.Finally, LCM of Fractions for 1134/370, 2705/8143 is 3067470.