Least Common Multiple of 310/22, 826/68, 494/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/22, 826/68, 494/788 quickly i.e. 15811705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/22, 826/68, 494/788 is 15811705.

LCM(310/22, 826/68, 494/788) = 15811705

LCM of 310/22, 826/68, 494/788

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 310/22,826/68,494/788

Given numbers are 310/22,826/68,494/788

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 310,826,494

Least Common Multiple of Numerators i.e. LCM of 310,826,494 is 31623410.

GCF of Denominators means GCF of 22,68,788 as per the given fractions.

GCF of 22,68,788 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,826,494

LCM of Fractions 310/22,826/68,494/788 is 15811705

2 310, 826, 494
155, 413, 247

∴ So the LCM of the given numbers is 2 x 155 x 413 x 247 = 31623410

Least Common Multiple of 310,826,494 with GCF Formula

Least Common Multiple of 310,826,494 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 310,826,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,826,494) = 2

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

GCF(310,826,494) x common factors =2 x 2 = 4

LCM(310,826,494) = ( 310 × 826 × 494 ) / 4

LCM(310,826,494) = 126493640 / 4

LCM(310,826,494) = 31623410


Lets's calculate GCF of 22,68,788

2 22, 68, 788
11, 34, 394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31623410/2

Therefore the LCM of Fractions 310/22,826/68,494/788 is 15811705

Greatest Common Factor of 22,68,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,68,788 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 22,68,788 . The biggest common factor number is the GCF number.
So the greatest common factor 22,68,788 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 310/22, 826/68, 494/788

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 310/22, 826/68, 494/788?

Answer: LCM of Numerators as per given numbers 310/22, 826/68, 494/788 is

LCM of Numerators i.e. for 310,826,494 is 31623410

GCF of denominators i.e. for 22,68,788 is 2.

Thus, LCM of Fractions is 15811705.Finally, LCM of Fractions for 310/22, 826/68, 494/788 is 15811705.