Least Common Multiple of 40/42, 93/80, 850/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/42, 93/80, 850/714 quickly i.e. 158100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/42, 93/80, 850/714 is 158100.

LCM(40/42, 93/80, 850/714) = 158100

LCM of 40/42, 93/80, 850/714

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 40/42,93/80,850/714

Given numbers are 40/42,93/80,850/714

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 40,93,850

Least Common Multiple of Numerators i.e. LCM of 40,93,850 is 316200.

GCF of Denominators means GCF of 42,80,714 as per the given fractions.

GCF of 42,80,714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,93,850

LCM of Fractions 40/42,93/80,850/714 is 158100

2 40, 93, 850
5 20, 93, 425
4, 93, 85

∴ So the LCM of the given numbers is 2 x 5 x 4 x 93 x 85 = 316200

Least Common Multiple of 40,93,850 with GCF Formula

Least Common Multiple of 40,93,850 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 40,93,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,93,850) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(40,93,850) x common factors =1 x 10 = 10

LCM(40,93,850) = ( 40 × 93 × 850 ) / 10

LCM(40,93,850) = 3162000 / 10

LCM(40,93,850) = 316200


Lets's calculate GCF of 42,80,714

2 42, 80, 714
21, 40, 357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316200/2

Therefore the LCM of Fractions 40/42,93/80,850/714 is 158100

Greatest Common Factor of 42,80,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,80,714 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

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 42,80,714 . The biggest common factor number is the GCF number.
So the greatest common factor 42,80,714 is 2.


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 40/42, 93/80, 850/714

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 40/42, 93/80, 850/714?

Answer: LCM of Numerators as per given numbers 40/42, 93/80, 850/714 is

LCM of Numerators i.e. for 40,93,850 is 316200

GCF of denominators i.e. for 42,80,714 is 2.

Thus, LCM of Fractions is 158100.Finally, LCM of Fractions for 40/42, 93/80, 850/714 is 158100.