Least Common Multiple of 659/278, 812/254, 501/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 659/278, 812/254, 501/240 quickly i.e. 134044554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 659/278, 812/254, 501/240 is 134044554.

LCM(659/278, 812/254, 501/240) = 134044554

LCM of 659/278, 812/254, 501/240

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 659/278,812/254,501/240

Given numbers are 659/278,812/254,501/240

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 659,812,501

Least Common Multiple of Numerators i.e. LCM of 659,812,501 is 268089108.

GCF of Denominators means GCF of 278,254,240 as per the given fractions.

GCF of 278,254,240 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 659,812,501

LCM of Fractions 659/278,812/254,501/240 is 134044554

Given numbers has no common factors except 1. So, there LCM is their product i.e 268089108

Least Common Multiple of 659,812,501 with GCF Formula

Least Common Multiple of 659,812,501 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 659,812,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,812,501) = 1

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

GCF(659,812,501) x common factors =1 x 1 = 1

LCM(659,812,501) = ( 659 × 812 × 501 ) / 1

LCM(659,812,501) = 268089108 / 1

LCM(659,812,501) = 268089108


Lets's calculate GCF of 278,254,240

2 278, 254, 240
139, 127, 120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268089108/2

Therefore the LCM of Fractions 659/278,812/254,501/240 is 134044554

Greatest Common Factor of 278,254,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,254,240 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

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

Greatest Common Factor

We found the factors 278,254,240 . The biggest common factor number is the GCF number.
So the greatest common factor 278,254,240 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 659/278, 812/254, 501/240

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 659/278, 812/254, 501/240?

Answer: LCM of Numerators as per given numbers 659/278, 812/254, 501/240 is

LCM of Numerators i.e. for 659,812,501 is 268089108

GCF of denominators i.e. for 278,254,240 is 2.

Thus, LCM of Fractions is 134044554.Finally, LCM of Fractions for 659/278, 812/254, 501/240 is 134044554.