Least Common Multiple of 263/770, 144/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 263/770, 144/490 quickly i.e. 37872/70 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 263/770, 144/490 is 37872/70.

LCM(263/770, 144/490) = 37872/70

LCM of 263/770, 144/490

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 263/770,144/490

Given numbers are 263/770,144/490

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 263,144

Least Common Multiple of Numerators i.e. LCM of 263,144 is 37872.

GCF of Denominators means GCF of 770,490 as per the given fractions.

GCF of 770,490 is 70 as it is the largest common factor for these numbers.

Lets's calculate LCM of 263,144

LCM of Fractions 263/770,144/490 is 37872/70

Given numbers has no common factors except 1. So, there LCM is their product i.e 37872

Least Common Multiple of 263,144 with GCF Formula

Least Common Multiple of 263,144 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 263,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,144) = 1

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

GCF(263,144) x common factors =1 x 1 = 1

LCM(263,144) = ( 263 × 144 ) / 1

LCM(263,144) = 37872 / 1

LCM(263,144) = 37872


Lets's calculate GCF of 770,490

2 770, 490
5 385, 245
7 77, 49
11, 7

∴ So the GCF of the given numbers is 2 x 5 x 7 = 70

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37872/70

Therefore the LCM of Fractions 263/770,144/490 is 37872/70

Greatest Common Factor of 770,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,490 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 770,490 . The biggest common factor number is the GCF number.
So the greatest common factor 770,490 is 70.


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 263/770, 144/490

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 263/770, 144/490?

Answer: LCM of Numerators as per given numbers 263/770, 144/490 is

LCM of Numerators i.e. for 263,144 is 37872

GCF of denominators i.e. for 770,490 is 70.

Thus, LCM of Fractions is 37872/70.Finally, LCM of Fractions for 263/770, 144/490 is 37872/70.