Least Common Multiple of 42/324, 35/858, 875/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/324, 35/858, 875/435 quickly i.e. 1750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/324, 35/858, 875/435 is 1750.

LCM(42/324, 35/858, 875/435) = 1750

LCM of 42/324, 35/858, 875/435

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 42/324,35/858,875/435

Given numbers are 42/324,35/858,875/435

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 42,35,875

Least Common Multiple of Numerators i.e. LCM of 42,35,875 is 5250.

GCF of Denominators means GCF of 324,858,435 as per the given fractions.

GCF of 324,858,435 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,35,875

LCM of Fractions 42/324,35/858,875/435 is 1750

5 42, 35, 875
7 42, 7, 175
6, 1, 25

∴ So the LCM of the given numbers is 5 x 7 x 6 x 1 x 25 = 5250

Least Common Multiple of 42,35,875 with GCF Formula

Least Common Multiple of 42,35,875 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 42,35,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,35,875) = 7

common factors(in case of two or more numbers have common factors) = 35

GCF(42,35,875) x common factors =7 x 35 = 245

LCM(42,35,875) = ( 42 × 35 × 875 ) / 245

LCM(42,35,875) = 1286250 / 245

LCM(42,35,875) = 5250


Lets's calculate GCF of 324,858,435

3 324, 858, 435
108, 286, 145

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5250/3

Therefore the LCM of Fractions 42/324,35/858,875/435 is 1750

Greatest Common Factor of 324,858,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,858,435 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 324,858,435 . The biggest common factor number is the GCF number.
So the greatest common factor 324,858,435 is 3.


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 42/324, 35/858, 875/435

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 42/324, 35/858, 875/435?

Answer: LCM of Numerators as per given numbers 42/324, 35/858, 875/435 is

LCM of Numerators i.e. for 42,35,875 is 5250

GCF of denominators i.e. for 324,858,435 is 3.

Thus, LCM of Fractions is 1750.Finally, LCM of Fractions for 42/324, 35/858, 875/435 is 1750.