Least Common Multiple of 316/335, 874/496, 575/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 316/335, 874/496, 575/714 quickly i.e. 3452300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 316/335, 874/496, 575/714 is 3452300.

LCM(316/335, 874/496, 575/714) = 3452300

LCM of 316/335, 874/496, 575/714

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 316/335,874/496,575/714

Given numbers are 316/335,874/496,575/714

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 316,874,575

Least Common Multiple of Numerators i.e. LCM of 316,874,575 is 3452300.

GCF of Denominators means GCF of 335,496,714 as per the given fractions.

GCF of 335,496,714 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 316,874,575

LCM of Fractions 316/335,874/496,575/714 is 3452300

2 316, 874, 575
23 158, 437, 575
158, 19, 25

∴ So the LCM of the given numbers is 2 x 23 x 158 x 19 x 25 = 3452300

Least Common Multiple of 316,874,575 with GCF Formula

Least Common Multiple of 316,874,575 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 316,874,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,874,575) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(316,874,575) x common factors =1 x 46 = 46

LCM(316,874,575) = ( 316 × 874 × 575 ) / 46

LCM(316,874,575) = 158805800 / 46

LCM(316,874,575) = 3452300


Lets's calculate GCF of 335,496,714

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3452300/1

Therefore the LCM of Fractions 316/335,874/496,575/714 is 3452300

Greatest Common Factor of 335,496,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,496,714 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 335,496,714 . The biggest common factor number is the GCF number.
So the greatest common factor 335,496,714 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 316/335, 874/496, 575/714

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 316/335, 874/496, 575/714?

Answer: LCM of Numerators as per given numbers 316/335, 874/496, 575/714 is

LCM of Numerators i.e. for 316,874,575 is 3452300

GCF of denominators i.e. for 335,496,714 is 1.

Thus, LCM of Fractions is 3452300.Finally, LCM of Fractions for 316/335, 874/496, 575/714 is 3452300.