Least Common Multiple of 578/560, 6796/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/560, 6796/130 quickly i.e. 1964044/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/560, 6796/130 is 1964044/10.

LCM(578/560, 6796/130) = 1964044/10

LCM of 578/560, 6796/130

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 578/560,6796/130

Given numbers are 578/560,6796/130

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 578,6796

Least Common Multiple of Numerators i.e. LCM of 578,6796 is 1964044.

GCF of Denominators means GCF of 560,130 as per the given fractions.

GCF of 560,130 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,6796

LCM of Fractions 578/560,6796/130 is 1964044/10

2 578, 6796
289, 3398

∴ So the LCM of the given numbers is 2 x 289 x 3398 = 1964044

Least Common Multiple of 578,6796 with GCF Formula

Least Common Multiple of 578,6796 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 578,6796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,6796) = 2

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

GCF(578,6796) x common factors =2 x 1 = 2

LCM(578,6796) = ( 578 × 6796 ) / 2

LCM(578,6796) = 3928088 / 2

LCM(578,6796) = 1964044


Lets's calculate GCF of 560,130

2 560, 130
5 280, 65
56, 13

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1964044/10

Therefore the LCM of Fractions 578/560,6796/130 is 1964044/10

Greatest Common Factor of 560,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,130 By Matching Biggest Common Factor Method

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 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 560,130 . The biggest common factor number is the GCF number.
So the greatest common factor 560,130 is 10.


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 578/560, 6796/130

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 578/560, 6796/130?

Answer: LCM of Numerators as per given numbers 578/560, 6796/130 is

LCM of Numerators i.e. for 578,6796 is 1964044

GCF of denominators i.e. for 560,130 is 10.

Thus, LCM of Fractions is 1964044/10.Finally, LCM of Fractions for 578/560, 6796/130 is 1964044/10.