Least Common Multiple of 80/670, 57/918, 838/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/670, 57/918, 838/746 quickly i.e. 955320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/670, 57/918, 838/746 is 955320.

LCM(80/670, 57/918, 838/746) = 955320

LCM of 80/670, 57/918, 838/746

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 80/670,57/918,838/746

Given numbers are 80/670,57/918,838/746

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 80,57,838

Least Common Multiple of Numerators i.e. LCM of 80,57,838 is 1910640.

GCF of Denominators means GCF of 670,918,746 as per the given fractions.

GCF of 670,918,746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,57,838

LCM of Fractions 80/670,57/918,838/746 is 955320

2 80, 57, 838
40, 57, 419

∴ So the LCM of the given numbers is 2 x 40 x 57 x 419 = 1910640

Least Common Multiple of 80,57,838 with GCF Formula

Least Common Multiple of 80,57,838 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 80,57,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,57,838) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(80,57,838) x common factors =1 x 2 = 2

LCM(80,57,838) = ( 80 × 57 × 838 ) / 2

LCM(80,57,838) = 3821280 / 2

LCM(80,57,838) = 1910640


Lets's calculate GCF of 670,918,746

2 670, 918, 746
335, 459, 373

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1910640/2

Therefore the LCM of Fractions 80/670,57/918,838/746 is 955320

Greatest Common Factor of 670,918,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,918,746 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

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 670,918,746 . The biggest common factor number is the GCF number.
So the greatest common factor 670,918,746 is 2.


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 80/670, 57/918, 838/746

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 80/670, 57/918, 838/746?

Answer: LCM of Numerators as per given numbers 80/670, 57/918, 838/746 is

LCM of Numerators i.e. for 80,57,838 is 1910640

GCF of denominators i.e. for 670,918,746 is 2.

Thus, LCM of Fractions is 955320.Finally, LCM of Fractions for 80/670, 57/918, 838/746 is 955320.