Least Common Multiple of 37/670, 70/240, 244/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/670, 70/240, 244/718 quickly i.e. 157990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/670, 70/240, 244/718 is 157990.

LCM(37/670, 70/240, 244/718) = 157990

LCM of 37/670, 70/240, 244/718

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 37/670,70/240,244/718

Given numbers are 37/670,70/240,244/718

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 37,70,244

Least Common Multiple of Numerators i.e. LCM of 37,70,244 is 315980.

GCF of Denominators means GCF of 670,240,718 as per the given fractions.

GCF of 670,240,718 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,70,244

LCM of Fractions 37/670,70/240,244/718 is 157990

2 37, 70, 244
37, 35, 122

∴ So the LCM of the given numbers is 2 x 37 x 35 x 122 = 315980

Least Common Multiple of 37,70,244 with GCF Formula

Least Common Multiple of 37,70,244 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 37,70,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,70,244) = 1

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

GCF(37,70,244) x common factors =1 x 2 = 2

LCM(37,70,244) = ( 37 × 70 × 244 ) / 2

LCM(37,70,244) = 631960 / 2

LCM(37,70,244) = 315980


Lets's calculate GCF of 670,240,718

2 670, 240, 718
335, 120, 359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315980/2

Therefore the LCM of Fractions 37/670,70/240,244/718 is 157990

Greatest Common Factor of 670,240,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,240,718 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 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 670,240,718 . The biggest common factor number is the GCF number.
So the greatest common factor 670,240,718 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/670, 70/240, 244/718

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 37/670, 70/240, 244/718?

Answer: LCM of Numerators as per given numbers 37/670, 70/240, 244/718 is

LCM of Numerators i.e. for 37,70,244 is 315980

GCF of denominators i.e. for 670,240,718 is 2.

Thus, LCM of Fractions is 157990.Finally, LCM of Fractions for 37/670, 70/240, 244/718 is 157990.