Least Common Multiple of 35/213, 367/217, 740/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/213, 367/217, 740/210 quickly i.e. 1901060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/213, 367/217, 740/210 is 1901060.

LCM(35/213, 367/217, 740/210) = 1901060

LCM of 35/213, 367/217, 740/210

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 35/213,367/217,740/210

Given numbers are 35/213,367/217,740/210

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 35,367,740

Least Common Multiple of Numerators i.e. LCM of 35,367,740 is 1901060.

GCF of Denominators means GCF of 213,217,210 as per the given fractions.

GCF of 213,217,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,367,740

LCM of Fractions 35/213,367/217,740/210 is 1901060

5 35, 367, 740
7, 367, 148

∴ So the LCM of the given numbers is 5 x 7 x 367 x 148 = 1901060

Least Common Multiple of 35,367,740 with GCF Formula

Least Common Multiple of 35,367,740 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 35,367,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,367,740) = 1

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

GCF(35,367,740) x common factors =1 x 5 = 5

LCM(35,367,740) = ( 35 × 367 × 740 ) / 5

LCM(35,367,740) = 9505300 / 5

LCM(35,367,740) = 1901060


Lets's calculate GCF of 213,217,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1901060/1

Therefore the LCM of Fractions 35/213,367/217,740/210 is 1901060

Greatest Common Factor of 213,217,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,217,210 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 213,217,210 . The biggest common factor number is the GCF number.
So the greatest common factor 213,217,210 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 35/213, 367/217, 740/210

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 35/213, 367/217, 740/210?

Answer: LCM of Numerators as per given numbers 35/213, 367/217, 740/210 is

LCM of Numerators i.e. for 35,367,740 is 1901060

GCF of denominators i.e. for 213,217,210 is 1.

Thus, LCM of Fractions is 1901060.Finally, LCM of Fractions for 35/213, 367/217, 740/210 is 1901060.