Least Common Multiple of 142/748, 355/217, 148/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/748, 355/217, 148/200 quickly i.e. 52540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/748, 355/217, 148/200 is 52540.

LCM(142/748, 355/217, 148/200) = 52540

LCM of 142/748, 355/217, 148/200

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 142/748,355/217,148/200

Given numbers are 142/748,355/217,148/200

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 142,355,148

Least Common Multiple of Numerators i.e. LCM of 142,355,148 is 52540.

GCF of Denominators means GCF of 748,217,200 as per the given fractions.

GCF of 748,217,200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,355,148

LCM of Fractions 142/748,355/217,148/200 is 52540

2 142, 355, 148
71 71, 355, 74
1, 5, 74

∴ So the LCM of the given numbers is 2 x 71 x 1 x 5 x 74 = 52540

Least Common Multiple of 142,355,148 with GCF Formula

Least Common Multiple of 142,355,148 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 142,355,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,355,148) = 1

common factors(in case of two or more numbers have common factors) = 142

GCF(142,355,148) x common factors =1 x 142 = 142

LCM(142,355,148) = ( 142 × 355 × 148 ) / 142

LCM(142,355,148) = 7460680 / 142

LCM(142,355,148) = 52540


Lets's calculate GCF of 748,217,200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52540/1

Therefore the LCM of Fractions 142/748,355/217,148/200 is 52540

Greatest Common Factor of 748,217,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,217,200 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 748,217,200 . The biggest common factor number is the GCF number.
So the greatest common factor 748,217,200 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 142/748, 355/217, 148/200

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 142/748, 355/217, 148/200?

Answer: LCM of Numerators as per given numbers 142/748, 355/217, 148/200 is

LCM of Numerators i.e. for 142,355,148 is 52540

GCF of denominators i.e. for 748,217,200 is 1.

Thus, LCM of Fractions is 52540.Finally, LCM of Fractions for 142/748, 355/217, 148/200 is 52540.