Least Common Multiple of 75/35, 697/95, 998/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/35, 697/95, 998/290 quickly i.e. 10434090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/35, 697/95, 998/290 is 10434090.

LCM(75/35, 697/95, 998/290) = 10434090

LCM of 75/35, 697/95, 998/290

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 75/35,697/95,998/290

Given numbers are 75/35,697/95,998/290

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 75,697,998

Least Common Multiple of Numerators i.e. LCM of 75,697,998 is 52170450.

GCF of Denominators means GCF of 35,95,290 as per the given fractions.

GCF of 35,95,290 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,697,998

LCM of Fractions 75/35,697/95,998/290 is 10434090

Given numbers has no common factors except 1. So, there LCM is their product i.e 52170450

Least Common Multiple of 75,697,998 with GCF Formula

Least Common Multiple of 75,697,998 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 75,697,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,697,998) = 1

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

GCF(75,697,998) x common factors =1 x 1 = 1

LCM(75,697,998) = ( 75 × 697 × 998 ) / 1

LCM(75,697,998) = 52170450 / 1

LCM(75,697,998) = 52170450


Lets's calculate GCF of 35,95,290

5 35, 95, 290
7, 19, 58

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52170450/5

Therefore the LCM of Fractions 75/35,697/95,998/290 is 10434090

Greatest Common Factor of 35,95,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,95,290 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 35,95,290 . The biggest common factor number is the GCF number.
So the greatest common factor 35,95,290 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 75/35, 697/95, 998/290

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 75/35, 697/95, 998/290?

Answer: LCM of Numerators as per given numbers 75/35, 697/95, 998/290 is

LCM of Numerators i.e. for 75,697,998 is 52170450

GCF of denominators i.e. for 35,95,290 is 5.

Thus, LCM of Fractions is 10434090.Finally, LCM of Fractions for 75/35, 697/95, 998/290 is 10434090.