Least Common Multiple of 2890/830, 9780/7105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2890/830, 9780/7105 quickly i.e. 565284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2890/830, 9780/7105 is 565284.

LCM(2890/830, 9780/7105) = 565284

LCM of 2890/830, 9780/7105

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 2890/830,9780/7105

Given numbers are 2890/830,9780/7105

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 2890,9780

Least Common Multiple of Numerators i.e. LCM of 2890,9780 is 2826420.

GCF of Denominators means GCF of 830,7105 as per the given fractions.

GCF of 830,7105 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2890,9780

LCM of Fractions 2890/830,9780/7105 is 565284

2 2890, 9780
5 1445, 4890
289, 978

∴ So the LCM of the given numbers is 2 x 5 x 289 x 978 = 2826420

Least Common Multiple of 2890,9780 with GCF Formula

Least Common Multiple of 2890,9780 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 2890,9780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2890,9780) = 10

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

GCF(2890,9780) x common factors =10 x 1 = 10

LCM(2890,9780) = ( 2890 × 9780 ) / 10

LCM(2890,9780) = 28264200 / 10

LCM(2890,9780) = 2826420


Lets's calculate GCF of 830,7105

5 830, 7105
166, 1421

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2826420/5

Therefore the LCM of Fractions 2890/830,9780/7105 is 565284

Greatest Common Factor of 830,7105 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,7105 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 7105

List of positive integer factors of 7105 that divides 7105 without a remainder.

1,5,7,29,35,49,145,203,245,1015,1421,7105

Greatest Common Factor

We found the factors 830,7105 . The biggest common factor number is the GCF number.
So the greatest common factor 830,7105 is 5.


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 2890/830, 9780/7105

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 2890/830, 9780/7105?

Answer: LCM of Numerators as per given numbers 2890/830, 9780/7105 is

LCM of Numerators i.e. for 2890,9780 is 2826420

GCF of denominators i.e. for 830,7105 is 5.

Thus, LCM of Fractions is 565284.Finally, LCM of Fractions for 2890/830, 9780/7105 is 565284.