Least Common Multiple of 830/51, 680/1434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 830/51, 680/1434 quickly i.e. 56440/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 830/51, 680/1434 is 56440/3.

LCM(830/51, 680/1434) = 56440/3

LCM of 830/51, 680/1434

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 830/51,680/1434

Given numbers are 830/51,680/1434

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 830,680

Least Common Multiple of Numerators i.e. LCM of 830,680 is 56440.

GCF of Denominators means GCF of 51,1434 as per the given fractions.

GCF of 51,1434 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 830,680

LCM of Fractions 830/51,680/1434 is 56440/3

2 830, 680
5 415, 340
83, 68

∴ So the LCM of the given numbers is 2 x 5 x 83 x 68 = 56440

Least Common Multiple of 830,680 with GCF Formula

Least Common Multiple of 830,680 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 830,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,680) = 10

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

GCF(830,680) x common factors =10 x 1 = 10

LCM(830,680) = ( 830 × 680 ) / 10

LCM(830,680) = 564400 / 10

LCM(830,680) = 56440


Lets's calculate GCF of 51,1434

3 51, 1434
17, 478

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56440/3

Therefore the LCM of Fractions 830/51,680/1434 is 56440/3

Greatest Common Factor of 51,1434 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,1434 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 1434

List of positive integer factors of 1434 that divides 1434 without a remainder.

1,2,3,6,239,478,717,1434

Greatest Common Factor

We found the factors 51,1434 . The biggest common factor number is the GCF number.
So the greatest common factor 51,1434 is 3.


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 830/51, 680/1434

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 830/51, 680/1434?

Answer: LCM of Numerators as per given numbers 830/51, 680/1434 is

LCM of Numerators i.e. for 830,680 is 56440

GCF of denominators i.e. for 51,1434 is 3.

Thus, LCM of Fractions is 56440/3.Finally, LCM of Fractions for 830/51, 680/1434 is 56440/3.