Least Common Multiple of 67/795, 119/570, 426/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/795, 119/570, 426/746 quickly i.e. 3396498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/795, 119/570, 426/746 is 3396498.

LCM(67/795, 119/570, 426/746) = 3396498

LCM of 67/795, 119/570, 426/746

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 67/795,119/570,426/746

Given numbers are 67/795,119/570,426/746

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 67,119,426

Least Common Multiple of Numerators i.e. LCM of 67,119,426 is 3396498.

GCF of Denominators means GCF of 795,570,746 as per the given fractions.

GCF of 795,570,746 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,119,426

LCM of Fractions 67/795,119/570,426/746 is 3396498

Given numbers has no common factors except 1. So, there LCM is their product i.e 3396498

Least Common Multiple of 67,119,426 with GCF Formula

Least Common Multiple of 67,119,426 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 67,119,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,119,426) = 1

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

GCF(67,119,426) x common factors =1 x 1 = 1

LCM(67,119,426) = ( 67 × 119 × 426 ) / 1

LCM(67,119,426) = 3396498 / 1

LCM(67,119,426) = 3396498


Lets's calculate GCF of 795,570,746

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3396498/1

Therefore the LCM of Fractions 67/795,119/570,426/746 is 3396498

Greatest Common Factor of 795,570,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,570,746 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 795,570,746 . The biggest common factor number is the GCF number.
So the greatest common factor 795,570,746 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 67/795, 119/570, 426/746

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 67/795, 119/570, 426/746?

Answer: LCM of Numerators as per given numbers 67/795, 119/570, 426/746 is

LCM of Numerators i.e. for 67,119,426 is 3396498

GCF of denominators i.e. for 795,570,746 is 1.

Thus, LCM of Fractions is 3396498.Finally, LCM of Fractions for 67/795, 119/570, 426/746 is 3396498.