Least Common Multiple of 29/277, 151/592, 690/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/277, 151/592, 690/405 quickly i.e. 3021510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/277, 151/592, 690/405 is 3021510.

LCM(29/277, 151/592, 690/405) = 3021510

LCM of 29/277, 151/592, 690/405

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 29/277,151/592,690/405

Given numbers are 29/277,151/592,690/405

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 29,151,690

Least Common Multiple of Numerators i.e. LCM of 29,151,690 is 3021510.

GCF of Denominators means GCF of 277,592,405 as per the given fractions.

GCF of 277,592,405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,151,690

LCM of Fractions 29/277,151/592,690/405 is 3021510

Given numbers has no common factors except 1. So, there LCM is their product i.e 3021510

Least Common Multiple of 29,151,690 with GCF Formula

Least Common Multiple of 29,151,690 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 29,151,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,151,690) = 1

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

GCF(29,151,690) x common factors =1 x 1 = 1

LCM(29,151,690) = ( 29 × 151 × 690 ) / 1

LCM(29,151,690) = 3021510 / 1

LCM(29,151,690) = 3021510


Lets's calculate GCF of 277,592,405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3021510/1

Therefore the LCM of Fractions 29/277,151/592,690/405 is 3021510

Greatest Common Factor of 277,592,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,592,405 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 277,592,405 . The biggest common factor number is the GCF number.
So the greatest common factor 277,592,405 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 29/277, 151/592, 690/405

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 29/277, 151/592, 690/405?

Answer: LCM of Numerators as per given numbers 29/277, 151/592, 690/405 is

LCM of Numerators i.e. for 29,151,690 is 3021510

GCF of denominators i.e. for 277,592,405 is 1.

Thus, LCM of Fractions is 3021510.Finally, LCM of Fractions for 29/277, 151/592, 690/405 is 3021510.