Least Common Multiple of 378/221, 707/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/221, 707/141 quickly i.e. 38178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/221, 707/141 is 38178.

LCM(378/221, 707/141) = 38178

LCM of 378/221, 707/141

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 378/221,707/141

Given numbers are 378/221,707/141

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 378,707

Least Common Multiple of Numerators i.e. LCM of 378,707 is 38178.

GCF of Denominators means GCF of 221,141 as per the given fractions.

GCF of 221,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,707

LCM of Fractions 378/221,707/141 is 38178

7 378, 707
54, 101

∴ So the LCM of the given numbers is 7 x 54 x 101 = 38178

Least Common Multiple of 378,707 with GCF Formula

Least Common Multiple of 378,707 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 378,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,707) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(378,707) x common factors =7 x 1 = 7

LCM(378,707) = ( 378 × 707 ) / 7

LCM(378,707) = 267246 / 7

LCM(378,707) = 38178


Lets's calculate GCF of 221,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38178/1

Therefore the LCM of Fractions 378/221,707/141 is 38178

Greatest Common Factor of 221,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,141 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 221,141 . The biggest common factor number is the GCF number.
So the greatest common factor 221,141 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 378/221, 707/141

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 378/221, 707/141?

Answer: LCM of Numerators as per given numbers 378/221, 707/141 is

LCM of Numerators i.e. for 378,707 is 38178

GCF of denominators i.e. for 221,141 is 1.

Thus, LCM of Fractions is 38178.Finally, LCM of Fractions for 378/221, 707/141 is 38178.