Least Common Multiple of 46/137, 712/289, 740/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/137, 712/289, 740/485 quickly i.e. 3029560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/137, 712/289, 740/485 is 3029560.

LCM(46/137, 712/289, 740/485) = 3029560

LCM of 46/137, 712/289, 740/485

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 46/137,712/289,740/485

Given numbers are 46/137,712/289,740/485

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 46,712,740

Least Common Multiple of Numerators i.e. LCM of 46,712,740 is 3029560.

GCF of Denominators means GCF of 137,289,485 as per the given fractions.

GCF of 137,289,485 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,712,740

LCM of Fractions 46/137,712/289,740/485 is 3029560

2 46, 712, 740
2 23, 356, 370
23, 178, 185

∴ So the LCM of the given numbers is 2 x 2 x 23 x 178 x 185 = 3029560

Least Common Multiple of 46,712,740 with GCF Formula

Least Common Multiple of 46,712,740 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 46,712,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,712,740) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(46,712,740) x common factors =2 x 4 = 8

LCM(46,712,740) = ( 46 × 712 × 740 ) / 8

LCM(46,712,740) = 24236480 / 8

LCM(46,712,740) = 3029560


Lets's calculate GCF of 137,289,485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3029560/1

Therefore the LCM of Fractions 46/137,712/289,740/485 is 3029560

Greatest Common Factor of 137,289,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,289,485 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 137,289,485 . The biggest common factor number is the GCF number.
So the greatest common factor 137,289,485 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 46/137, 712/289, 740/485

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 46/137, 712/289, 740/485?

Answer: LCM of Numerators as per given numbers 46/137, 712/289, 740/485 is

LCM of Numerators i.e. for 46,712,740 is 3029560

GCF of denominators i.e. for 137,289,485 is 1.

Thus, LCM of Fractions is 3029560.Finally, LCM of Fractions for 46/137, 712/289, 740/485 is 3029560.