Least Common Multiple of 770/580, 5434/8542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 770/580, 5434/8542 quickly i.e. 95095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 770/580, 5434/8542 is 95095.

LCM(770/580, 5434/8542) = 95095

LCM of 770/580, 5434/8542

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 770/580,5434/8542

Given numbers are 770/580,5434/8542

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 770,5434

Least Common Multiple of Numerators i.e. LCM of 770,5434 is 190190.

GCF of Denominators means GCF of 580,8542 as per the given fractions.

GCF of 580,8542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 770,5434

LCM of Fractions 770/580,5434/8542 is 95095

2 770, 5434
11 385, 2717
35, 247

∴ So the LCM of the given numbers is 2 x 11 x 35 x 247 = 190190

Least Common Multiple of 770,5434 with GCF Formula

Least Common Multiple of 770,5434 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 770,5434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,5434) = 22

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

GCF(770,5434) x common factors =22 x 1 = 22

LCM(770,5434) = ( 770 × 5434 ) / 22

LCM(770,5434) = 4184180 / 22

LCM(770,5434) = 190190


Lets's calculate GCF of 580,8542

2 580, 8542
290, 4271

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190190/2

Therefore the LCM of Fractions 770/580,5434/8542 is 95095

Greatest Common Factor of 580,8542 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,8542 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 8542

List of positive integer factors of 8542 that divides 8542 without a remainder.

1,2,4271,8542

Greatest Common Factor

We found the factors 580,8542 . The biggest common factor number is the GCF number.
So the greatest common factor 580,8542 is 2.


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 770/580, 5434/8542

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 770/580, 5434/8542?

Answer: LCM of Numerators as per given numbers 770/580, 5434/8542 is

LCM of Numerators i.e. for 770,5434 is 190190

GCF of denominators i.e. for 580,8542 is 2.

Thus, LCM of Fractions is 95095.Finally, LCM of Fractions for 770/580, 5434/8542 is 95095.