Least Common Multiple of 340/173, 116/786, 512/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/173, 116/786, 512/715 quickly i.e. 1262080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/173, 116/786, 512/715 is 1262080.

LCM(340/173, 116/786, 512/715) = 1262080

LCM of 340/173, 116/786, 512/715

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 340/173,116/786,512/715

Given numbers are 340/173,116/786,512/715

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 340,116,512

Least Common Multiple of Numerators i.e. LCM of 340,116,512 is 1262080.

GCF of Denominators means GCF of 173,786,715 as per the given fractions.

GCF of 173,786,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,116,512

LCM of Fractions 340/173,116/786,512/715 is 1262080

2 340, 116, 512
2 170, 58, 256
85, 29, 128

∴ So the LCM of the given numbers is 2 x 2 x 85 x 29 x 128 = 1262080

Least Common Multiple of 340,116,512 with GCF Formula

Least Common Multiple of 340,116,512 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 340,116,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,116,512) = 4

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

GCF(340,116,512) x common factors =4 x 4 = 16

LCM(340,116,512) = ( 340 × 116 × 512 ) / 16

LCM(340,116,512) = 20193280 / 16

LCM(340,116,512) = 1262080


Lets's calculate GCF of 173,786,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1262080/1

Therefore the LCM of Fractions 340/173,116/786,512/715 is 1262080

Greatest Common Factor of 173,786,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,786,715 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 173,786,715 . The biggest common factor number is the GCF number.
So the greatest common factor 173,786,715 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 340/173, 116/786, 512/715

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 340/173, 116/786, 512/715?

Answer: LCM of Numerators as per given numbers 340/173, 116/786, 512/715 is

LCM of Numerators i.e. for 340,116,512 is 1262080

GCF of denominators i.e. for 173,786,715 is 1.

Thus, LCM of Fractions is 1262080.Finally, LCM of Fractions for 340/173, 116/786, 512/715 is 1262080.