Least Common Multiple of 65/140, 74/695, 367/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/140, 74/695, 367/754 quickly i.e. 1765270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/140, 74/695, 367/754 is 1765270.

LCM(65/140, 74/695, 367/754) = 1765270

LCM of 65/140, 74/695, 367/754

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 65/140,74/695,367/754

Given numbers are 65/140,74/695,367/754

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 65,74,367

Least Common Multiple of Numerators i.e. LCM of 65,74,367 is 1765270.

GCF of Denominators means GCF of 140,695,754 as per the given fractions.

GCF of 140,695,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,74,367

LCM of Fractions 65/140,74/695,367/754 is 1765270

Given numbers has no common factors except 1. So, there LCM is their product i.e 1765270

Least Common Multiple of 65,74,367 with GCF Formula

Least Common Multiple of 65,74,367 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 65,74,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,74,367) = 1

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

GCF(65,74,367) x common factors =1 x 1 = 1

LCM(65,74,367) = ( 65 × 74 × 367 ) / 1

LCM(65,74,367) = 1765270 / 1

LCM(65,74,367) = 1765270


Lets's calculate GCF of 140,695,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1765270/1

Therefore the LCM of Fractions 65/140,74/695,367/754 is 1765270

Greatest Common Factor of 140,695,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,695,754 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 140,695,754 . The biggest common factor number is the GCF number.
So the greatest common factor 140,695,754 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 65/140, 74/695, 367/754

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 65/140, 74/695, 367/754?

Answer: LCM of Numerators as per given numbers 65/140, 74/695, 367/754 is

LCM of Numerators i.e. for 65,74,367 is 1765270

GCF of denominators i.e. for 140,695,754 is 1.

Thus, LCM of Fractions is 1765270.Finally, LCM of Fractions for 65/140, 74/695, 367/754 is 1765270.