Least Common Multiple of 77/146, 274/560, 910/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/146, 274/560, 910/405 quickly i.e. 1371370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/146, 274/560, 910/405 is 1371370.

LCM(77/146, 274/560, 910/405) = 1371370

LCM of 77/146, 274/560, 910/405

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 77/146,274/560,910/405

Given numbers are 77/146,274/560,910/405

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 77,274,910

Least Common Multiple of Numerators i.e. LCM of 77,274,910 is 1371370.

GCF of Denominators means GCF of 146,560,405 as per the given fractions.

GCF of 146,560,405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,274,910

LCM of Fractions 77/146,274/560,910/405 is 1371370

2 77, 274, 910
7 77, 137, 455
11, 137, 65

∴ So the LCM of the given numbers is 2 x 7 x 11 x 137 x 65 = 1371370

Least Common Multiple of 77,274,910 with GCF Formula

Least Common Multiple of 77,274,910 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 77,274,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,274,910) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(77,274,910) x common factors =1 x 14 = 14

LCM(77,274,910) = ( 77 × 274 × 910 ) / 14

LCM(77,274,910) = 19199180 / 14

LCM(77,274,910) = 1371370


Lets's calculate GCF of 146,560,405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1371370/1

Therefore the LCM of Fractions 77/146,274/560,910/405 is 1371370

Greatest Common Factor of 146,560,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,560,405 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

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 146,560,405 . The biggest common factor number is the GCF number.
So the greatest common factor 146,560,405 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 77/146, 274/560, 910/405

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 77/146, 274/560, 910/405?

Answer: LCM of Numerators as per given numbers 77/146, 274/560, 910/405 is

LCM of Numerators i.e. for 77,274,910 is 1371370

GCF of denominators i.e. for 146,560,405 is 1.

Thus, LCM of Fractions is 1371370.Finally, LCM of Fractions for 77/146, 274/560, 910/405 is 1371370.