Least Common Multiple of 12/734, 257/562, 278/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/734, 257/562, 278/719 quickly i.e. 428676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/734, 257/562, 278/719 is 428676.

LCM(12/734, 257/562, 278/719) = 428676

LCM of 12/734, 257/562, 278/719

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 12/734,257/562,278/719

Given numbers are 12/734,257/562,278/719

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 12,257,278

Least Common Multiple of Numerators i.e. LCM of 12,257,278 is 428676.

GCF of Denominators means GCF of 734,562,719 as per the given fractions.

GCF of 734,562,719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,257,278

LCM of Fractions 12/734,257/562,278/719 is 428676

2 12, 257, 278
6, 257, 139

∴ So the LCM of the given numbers is 2 x 6 x 257 x 139 = 428676

Least Common Multiple of 12,257,278 with GCF Formula

Least Common Multiple of 12,257,278 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 12,257,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,257,278) = 1

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

GCF(12,257,278) x common factors =1 x 2 = 2

LCM(12,257,278) = ( 12 × 257 × 278 ) / 2

LCM(12,257,278) = 857352 / 2

LCM(12,257,278) = 428676


Lets's calculate GCF of 734,562,719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428676/1

Therefore the LCM of Fractions 12/734,257/562,278/719 is 428676

Greatest Common Factor of 734,562,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,562,719 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 734,562,719 . The biggest common factor number is the GCF number.
So the greatest common factor 734,562,719 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 12/734, 257/562, 278/719

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 12/734, 257/562, 278/719?

Answer: LCM of Numerators as per given numbers 12/734, 257/562, 278/719 is

LCM of Numerators i.e. for 12,257,278 is 428676

GCF of denominators i.e. for 734,562,719 is 1.

Thus, LCM of Fractions is 428676.Finally, LCM of Fractions for 12/734, 257/562, 278/719 is 428676.