Least Common Multiple of 45/460, 674/135, 347/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/460, 674/135, 347/707 quickly i.e. 10524510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/460, 674/135, 347/707 is 10524510.

LCM(45/460, 674/135, 347/707) = 10524510

LCM of 45/460, 674/135, 347/707

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 45/460,674/135,347/707

Given numbers are 45/460,674/135,347/707

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 45,674,347

Least Common Multiple of Numerators i.e. LCM of 45,674,347 is 10524510.

GCF of Denominators means GCF of 460,135,707 as per the given fractions.

GCF of 460,135,707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,674,347

LCM of Fractions 45/460,674/135,347/707 is 10524510

Given numbers has no common factors except 1. So, there LCM is their product i.e 10524510

Least Common Multiple of 45,674,347 with GCF Formula

Least Common Multiple of 45,674,347 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 45,674,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,674,347) = 1

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

GCF(45,674,347) x common factors =1 x 1 = 1

LCM(45,674,347) = ( 45 × 674 × 347 ) / 1

LCM(45,674,347) = 10524510 / 1

LCM(45,674,347) = 10524510


Lets's calculate GCF of 460,135,707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10524510/1

Therefore the LCM of Fractions 45/460,674/135,347/707 is 10524510

Greatest Common Factor of 460,135,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,135,707 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 460,135,707 . The biggest common factor number is the GCF number.
So the greatest common factor 460,135,707 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 45/460, 674/135, 347/707

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 45/460, 674/135, 347/707?

Answer: LCM of Numerators as per given numbers 45/460, 674/135, 347/707 is

LCM of Numerators i.e. for 45,674,347 is 10524510

GCF of denominators i.e. for 460,135,707 is 1.

Thus, LCM of Fractions is 10524510.Finally, LCM of Fractions for 45/460, 674/135, 347/707 is 10524510.