Least Common Multiple of 349/56, 715/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 349/56, 715/892 quickly i.e. 249535/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/56, 715/892 is 249535/4.

LCM(349/56, 715/892) = 249535/4

LCM of 349/56, 715/892

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 349/56,715/892

Given numbers are 349/56,715/892

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 349,715

Least Common Multiple of Numerators i.e. LCM of 349,715 is 249535.

GCF of Denominators means GCF of 56,892 as per the given fractions.

GCF of 56,892 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,715

LCM of Fractions 349/56,715/892 is 249535/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 249535

Least Common Multiple of 349,715 with GCF Formula

Least Common Multiple of 349,715 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 349,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,715) = 1

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

GCF(349,715) x common factors =1 x 1 = 1

LCM(349,715) = ( 349 × 715 ) / 1

LCM(349,715) = 249535 / 1

LCM(349,715) = 249535


Lets's calculate GCF of 56,892

2 56, 892
2 28, 446
14, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249535/4

Therefore the LCM of Fractions 349/56,715/892 is 249535/4

Greatest Common Factor of 56,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,892 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 56,892 . The biggest common factor number is the GCF number.
So the greatest common factor 56,892 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 349/56, 715/892

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 349/56, 715/892?

Answer: LCM of Numerators as per given numbers 349/56, 715/892 is

LCM of Numerators i.e. for 349,715 is 249535

GCF of denominators i.e. for 56,892 is 4.

Thus, LCM of Fractions is 249535/4.Finally, LCM of Fractions for 349/56, 715/892 is 249535/4.