Least Common Multiple of 2097/980, 1571/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2097/980, 1571/308 quickly i.e. 3294387/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2097/980, 1571/308 is 3294387/28.

LCM(2097/980, 1571/308) = 3294387/28

LCM of 2097/980, 1571/308

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 2097/980,1571/308

Given numbers are 2097/980,1571/308

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 2097,1571

Least Common Multiple of Numerators i.e. LCM of 2097,1571 is 3294387.

GCF of Denominators means GCF of 980,308 as per the given fractions.

GCF of 980,308 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2097,1571

LCM of Fractions 2097/980,1571/308 is 3294387/28

Given numbers has no common factors except 1. So, there LCM is their product i.e 3294387

Least Common Multiple of 2097,1571 with GCF Formula

Least Common Multiple of 2097,1571 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 2097,1571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2097,1571) = 1

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

GCF(2097,1571) x common factors =1 x 1 = 1

LCM(2097,1571) = ( 2097 × 1571 ) / 1

LCM(2097,1571) = 3294387 / 1

LCM(2097,1571) = 3294387


Lets's calculate GCF of 980,308

2 980, 308
2 490, 154
7 245, 77
35, 11

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3294387/28

Therefore the LCM of Fractions 2097/980,1571/308 is 3294387/28

Greatest Common Factor of 980,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,308 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 980,308 . The biggest common factor number is the GCF number.
So the greatest common factor 980,308 is 28.


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 2097/980, 1571/308

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 2097/980, 1571/308?

Answer: LCM of Numerators as per given numbers 2097/980, 1571/308 is

LCM of Numerators i.e. for 2097,1571 is 3294387

GCF of denominators i.e. for 980,308 is 28.

Thus, LCM of Fractions is 3294387/28.Finally, LCM of Fractions for 2097/980, 1571/308 is 3294387/28.