Least Common Multiple of 1075/610, 9897/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1075/610, 9897/310 quickly i.e. 10639275/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1075/610, 9897/310 is 10639275/10.

LCM(1075/610, 9897/310) = 10639275/10

LCM of 1075/610, 9897/310

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 1075/610,9897/310

Given numbers are 1075/610,9897/310

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 1075,9897

Least Common Multiple of Numerators i.e. LCM of 1075,9897 is 10639275.

GCF of Denominators means GCF of 610,310 as per the given fractions.

GCF of 610,310 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1075,9897

LCM of Fractions 1075/610,9897/310 is 10639275/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 10639275

Least Common Multiple of 1075,9897 with GCF Formula

Least Common Multiple of 1075,9897 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 1075,9897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1075,9897) = 1

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

GCF(1075,9897) x common factors =1 x 1 = 1

LCM(1075,9897) = ( 1075 × 9897 ) / 1

LCM(1075,9897) = 10639275 / 1

LCM(1075,9897) = 10639275


Lets's calculate GCF of 610,310

2 610, 310
5 305, 155
61, 31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10639275/10

Therefore the LCM of Fractions 1075/610,9897/310 is 10639275/10

Greatest Common Factor of 610,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,310 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 610,310 . The biggest common factor number is the GCF number.
So the greatest common factor 610,310 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 1075/610, 9897/310

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 1075/610, 9897/310?

Answer: LCM of Numerators as per given numbers 1075/610, 9897/310 is

LCM of Numerators i.e. for 1075,9897 is 10639275

GCF of denominators i.e. for 610,310 is 10.

Thus, LCM of Fractions is 10639275/10.Finally, LCM of Fractions for 1075/610, 9897/310 is 10639275/10.