Least Common Multiple of 348/678, 320/411, 251/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 348/678, 320/411, 251/788 quickly i.e. 6987840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 348/678, 320/411, 251/788 is 6987840.

LCM(348/678, 320/411, 251/788) = 6987840

LCM of 348/678, 320/411, 251/788

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 348/678,320/411,251/788

Given numbers are 348/678,320/411,251/788

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 348,320,251

Least Common Multiple of Numerators i.e. LCM of 348,320,251 is 6987840.

GCF of Denominators means GCF of 678,411,788 as per the given fractions.

GCF of 678,411,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 348,320,251

LCM of Fractions 348/678,320/411,251/788 is 6987840

2 348, 320, 251
2 174, 160, 251
87, 80, 251

∴ So the LCM of the given numbers is 2 x 2 x 87 x 80 x 251 = 6987840

Least Common Multiple of 348,320,251 with GCF Formula

Least Common Multiple of 348,320,251 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 348,320,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,320,251) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(348,320,251) x common factors =1 x 4 = 4

LCM(348,320,251) = ( 348 × 320 × 251 ) / 4

LCM(348,320,251) = 27951360 / 4

LCM(348,320,251) = 6987840


Lets's calculate GCF of 678,411,788

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6987840/1

Therefore the LCM of Fractions 348/678,320/411,251/788 is 6987840

Greatest Common Factor of 678,411,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,411,788 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

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 678,411,788 . The biggest common factor number is the GCF number.
So the greatest common factor 678,411,788 is 1.


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 348/678, 320/411, 251/788

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 348/678, 320/411, 251/788?

Answer: LCM of Numerators as per given numbers 348/678, 320/411, 251/788 is

LCM of Numerators i.e. for 348,320,251 is 6987840

GCF of denominators i.e. for 678,411,788 is 1.

Thus, LCM of Fractions is 6987840.Finally, LCM of Fractions for 348/678, 320/411, 251/788 is 6987840.