Least Common Multiple of 371/42, 700/60, 148/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 371/42, 700/60, 148/429 quickly i.e. 1372700/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 371/42, 700/60, 148/429 is 1372700/3.

LCM(371/42, 700/60, 148/429) = 1372700/3

LCM of 371/42, 700/60, 148/429

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 371/42,700/60,148/429

Given numbers are 371/42,700/60,148/429

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 371,700,148

Least Common Multiple of Numerators i.e. LCM of 371,700,148 is 1372700.

GCF of Denominators means GCF of 42,60,429 as per the given fractions.

GCF of 42,60,429 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 371,700,148

LCM of Fractions 371/42,700/60,148/429 is 1372700/3

2 371, 700, 148
2 371, 350, 74
7 371, 175, 37
53, 25, 37

∴ So the LCM of the given numbers is 2 x 2 x 7 x 53 x 25 x 37 = 1372700

Least Common Multiple of 371,700,148 with GCF Formula

Least Common Multiple of 371,700,148 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 371,700,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,700,148) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(371,700,148) x common factors =1 x 28 = 28

LCM(371,700,148) = ( 371 × 700 × 148 ) / 28

LCM(371,700,148) = 38435600 / 28

LCM(371,700,148) = 1372700


Lets's calculate GCF of 42,60,429

3 42, 60, 429
14, 20, 143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1372700/3

Therefore the LCM of Fractions 371/42,700/60,148/429 is 1372700/3

Greatest Common Factor of 42,60,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,60,429 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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 42,60,429 . The biggest common factor number is the GCF number.
So the greatest common factor 42,60,429 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 371/42, 700/60, 148/429

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 371/42, 700/60, 148/429?

Answer: LCM of Numerators as per given numbers 371/42, 700/60, 148/429 is

LCM of Numerators i.e. for 371,700,148 is 1372700

GCF of denominators i.e. for 42,60,429 is 3.

Thus, LCM of Fractions is 1372700/3.Finally, LCM of Fractions for 371/42, 700/60, 148/429 is 1372700/3.