Least Common Multiple of 780/858, 1293/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/858, 1293/914 quickly i.e. 168090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/858, 1293/914 is 168090.

LCM(780/858, 1293/914) = 168090

LCM of 780/858, 1293/914

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 780/858,1293/914

Given numbers are 780/858,1293/914

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 780,1293

Least Common Multiple of Numerators i.e. LCM of 780,1293 is 336180.

GCF of Denominators means GCF of 858,914 as per the given fractions.

GCF of 858,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,1293

LCM of Fractions 780/858,1293/914 is 168090

3 780, 1293
260, 431

∴ So the LCM of the given numbers is 3 x 260 x 431 = 336180

Least Common Multiple of 780,1293 with GCF Formula

Least Common Multiple of 780,1293 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 780,1293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,1293) = 3

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

GCF(780,1293) x common factors =3 x 1 = 3

LCM(780,1293) = ( 780 × 1293 ) / 3

LCM(780,1293) = 1008540 / 3

LCM(780,1293) = 336180


Lets's calculate GCF of 858,914

2 858, 914
429, 457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336180/2

Therefore the LCM of Fractions 780/858,1293/914 is 168090

Greatest Common Factor of 858,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,914 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 858,914 . The biggest common factor number is the GCF number.
So the greatest common factor 858,914 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 780/858, 1293/914

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 780/858, 1293/914?

Answer: LCM of Numerators as per given numbers 780/858, 1293/914 is

LCM of Numerators i.e. for 780,1293 is 336180

GCF of denominators i.e. for 858,914 is 2.

Thus, LCM of Fractions is 168090.Finally, LCM of Fractions for 780/858, 1293/914 is 168090.