Least Common Multiple of 26/762, 12/628, 770/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/762, 12/628, 770/978 quickly i.e. 30030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/762, 12/628, 770/978 is 30030.

LCM(26/762, 12/628, 770/978) = 30030

LCM of 26/762, 12/628, 770/978

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 26/762,12/628,770/978

Given numbers are 26/762,12/628,770/978

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 26,12,770

Least Common Multiple of Numerators i.e. LCM of 26,12,770 is 60060.

GCF of Denominators means GCF of 762,628,978 as per the given fractions.

GCF of 762,628,978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,12,770

LCM of Fractions 26/762,12/628,770/978 is 30030

2 26, 12, 770
13, 6, 385

∴ So the LCM of the given numbers is 2 x 13 x 6 x 385 = 60060

Least Common Multiple of 26,12,770 with GCF Formula

Least Common Multiple of 26,12,770 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 26,12,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,12,770) = 2

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

GCF(26,12,770) x common factors =2 x 2 = 4

LCM(26,12,770) = ( 26 × 12 × 770 ) / 4

LCM(26,12,770) = 240240 / 4

LCM(26,12,770) = 60060


Lets's calculate GCF of 762,628,978

2 762, 628, 978
381, 314, 489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60060/2

Therefore the LCM of Fractions 26/762,12/628,770/978 is 30030

Greatest Common Factor of 762,628,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,628,978 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 762,628,978 . The biggest common factor number is the GCF number.
So the greatest common factor 762,628,978 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 26/762, 12/628, 770/978

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 26/762, 12/628, 770/978?

Answer: LCM of Numerators as per given numbers 26/762, 12/628, 770/978 is

LCM of Numerators i.e. for 26,12,770 is 60060

GCF of denominators i.e. for 762,628,978 is 2.

Thus, LCM of Fractions is 30030.Finally, LCM of Fractions for 26/762, 12/628, 770/978 is 30030.