Least Common Multiple of 75/697, 35/211, 422/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/697, 35/211, 422/700 quickly i.e. 221550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/697, 35/211, 422/700 is 221550.

LCM(75/697, 35/211, 422/700) = 221550

LCM of 75/697, 35/211, 422/700

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 75/697,35/211,422/700

Given numbers are 75/697,35/211,422/700

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 75,35,422

Least Common Multiple of Numerators i.e. LCM of 75,35,422 is 221550.

GCF of Denominators means GCF of 697,211,700 as per the given fractions.

GCF of 697,211,700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,35,422

LCM of Fractions 75/697,35/211,422/700 is 221550

5 75, 35, 422
15, 7, 422

∴ So the LCM of the given numbers is 5 x 15 x 7 x 422 = 221550

Least Common Multiple of 75,35,422 with GCF Formula

Least Common Multiple of 75,35,422 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 75,35,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,35,422) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(75,35,422) x common factors =1 x 5 = 5

LCM(75,35,422) = ( 75 × 35 × 422 ) / 5

LCM(75,35,422) = 1107750 / 5

LCM(75,35,422) = 221550


Lets's calculate GCF of 697,211,700

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221550/1

Therefore the LCM of Fractions 75/697,35/211,422/700 is 221550

Greatest Common Factor of 697,211,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,211,700 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 697,211,700 . The biggest common factor number is the GCF number.
So the greatest common factor 697,211,700 is 1.


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 75/697, 35/211, 422/700

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 75/697, 35/211, 422/700?

Answer: LCM of Numerators as per given numbers 75/697, 35/211, 422/700 is

LCM of Numerators i.e. for 75,35,422 is 221550

GCF of denominators i.e. for 697,211,700 is 1.

Thus, LCM of Fractions is 221550.Finally, LCM of Fractions for 75/697, 35/211, 422/700 is 221550.