Least Common Multiple of 343/12, 700/5456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/12, 700/5456 quickly i.e. 8575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/12, 700/5456 is 8575.

LCM(343/12, 700/5456) = 8575

LCM of 343/12, 700/5456

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 343/12,700/5456

Given numbers are 343/12,700/5456

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 343,700

Least Common Multiple of Numerators i.e. LCM of 343,700 is 34300.

GCF of Denominators means GCF of 12,5456 as per the given fractions.

GCF of 12,5456 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,700

LCM of Fractions 343/12,700/5456 is 8575

7 343, 700
49, 100

∴ So the LCM of the given numbers is 7 x 49 x 100 = 34300

Least Common Multiple of 343,700 with GCF Formula

Least Common Multiple of 343,700 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 343,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,700) = 7

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

GCF(343,700) x common factors =7 x 1 = 7

LCM(343,700) = ( 343 × 700 ) / 7

LCM(343,700) = 240100 / 7

LCM(343,700) = 34300


Lets's calculate GCF of 12,5456

2 12, 5456
2 6, 2728
3, 1364

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34300/4

Therefore the LCM of Fractions 343/12,700/5456 is 8575

Greatest Common Factor of 12,5456 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,5456 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 5456

List of positive integer factors of 5456 that divides 5456 without a remainder.

1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456

Greatest Common Factor

We found the factors 12,5456 . The biggest common factor number is the GCF number.
So the greatest common factor 12,5456 is 4.


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 343/12, 700/5456

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 343/12, 700/5456?

Answer: LCM of Numerators as per given numbers 343/12, 700/5456 is

LCM of Numerators i.e. for 343,700 is 34300

GCF of denominators i.e. for 12,5456 is 4.

Thus, LCM of Fractions is 8575.Finally, LCM of Fractions for 343/12, 700/5456 is 8575.