Least Common Multiple of 714/12, 354/77, 297/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/12, 354/77, 297/126 quickly i.e. 4170474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/12, 354/77, 297/126 is 4170474.

LCM(714/12, 354/77, 297/126) = 4170474

LCM of 714/12, 354/77, 297/126

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 714/12,354/77,297/126

Given numbers are 714/12,354/77,297/126

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 714,354,297

Least Common Multiple of Numerators i.e. LCM of 714,354,297 is 4170474.

GCF of Denominators means GCF of 12,77,126 as per the given fractions.

GCF of 12,77,126 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,354,297

LCM of Fractions 714/12,354/77,297/126 is 4170474

2 714, 354, 297
3 357, 177, 297
119, 59, 99

∴ So the LCM of the given numbers is 2 x 3 x 119 x 59 x 99 = 4170474

Least Common Multiple of 714,354,297 with GCF Formula

Least Common Multiple of 714,354,297 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 714,354,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,354,297) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(714,354,297) x common factors =3 x 6 = 18

LCM(714,354,297) = ( 714 × 354 × 297 ) / 18

LCM(714,354,297) = 75068532 / 18

LCM(714,354,297) = 4170474


Lets's calculate GCF of 12,77,126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4170474/1

Therefore the LCM of Fractions 714/12,354/77,297/126 is 4170474

Greatest Common Factor of 12,77,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,77,126 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 12,77,126 . The biggest common factor number is the GCF number.
So the greatest common factor 12,77,126 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 714/12, 354/77, 297/126

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 714/12, 354/77, 297/126?

Answer: LCM of Numerators as per given numbers 714/12, 354/77, 297/126 is

LCM of Numerators i.e. for 714,354,297 is 4170474

GCF of denominators i.e. for 12,77,126 is 1.

Thus, LCM of Fractions is 4170474.Finally, LCM of Fractions for 714/12, 354/77, 297/126 is 4170474.