Least Common Multiple of 578/710, 6988/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/710, 6988/780 quickly i.e. 2019532/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/710, 6988/780 is 2019532/10.

LCM(578/710, 6988/780) = 2019532/10

LCM of 578/710, 6988/780

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 578/710,6988/780

Given numbers are 578/710,6988/780

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 578,6988

Least Common Multiple of Numerators i.e. LCM of 578,6988 is 2019532.

GCF of Denominators means GCF of 710,780 as per the given fractions.

GCF of 710,780 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,6988

LCM of Fractions 578/710,6988/780 is 2019532/10

2 578, 6988
289, 3494

∴ So the LCM of the given numbers is 2 x 289 x 3494 = 2019532

Least Common Multiple of 578,6988 with GCF Formula

Least Common Multiple of 578,6988 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 578,6988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,6988) = 2

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

GCF(578,6988) x common factors =2 x 1 = 2

LCM(578,6988) = ( 578 × 6988 ) / 2

LCM(578,6988) = 4039064 / 2

LCM(578,6988) = 2019532


Lets's calculate GCF of 710,780

2 710, 780
5 355, 390
71, 78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2019532/10

Therefore the LCM of Fractions 578/710,6988/780 is 2019532/10

Greatest Common Factor of 710,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,780 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 710,780 . The biggest common factor number is the GCF number.
So the greatest common factor 710,780 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 578/710, 6988/780

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 578/710, 6988/780?

Answer: LCM of Numerators as per given numbers 578/710, 6988/780 is

LCM of Numerators i.e. for 578,6988 is 2019532

GCF of denominators i.e. for 710,780 is 10.

Thus, LCM of Fractions is 2019532/10.Finally, LCM of Fractions for 578/710, 6988/780 is 2019532/10.