Least Common Multiple of 701/346, 540/213, 848/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 701/346, 540/213, 848/745 quickly i.e. 80250480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 701/346, 540/213, 848/745 is 80250480.

LCM(701/346, 540/213, 848/745) = 80250480

LCM of 701/346, 540/213, 848/745

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 701/346,540/213,848/745

Given numbers are 701/346,540/213,848/745

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 701,540,848

Least Common Multiple of Numerators i.e. LCM of 701,540,848 is 80250480.

GCF of Denominators means GCF of 346,213,745 as per the given fractions.

GCF of 346,213,745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 701,540,848

LCM of Fractions 701/346,540/213,848/745 is 80250480

2 701, 540, 848
2 701, 270, 424
701, 135, 212

∴ So the LCM of the given numbers is 2 x 2 x 701 x 135 x 212 = 80250480

Least Common Multiple of 701,540,848 with GCF Formula

Least Common Multiple of 701,540,848 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 701,540,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,540,848) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(701,540,848) x common factors =1 x 4 = 4

LCM(701,540,848) = ( 701 × 540 × 848 ) / 4

LCM(701,540,848) = 321001920 / 4

LCM(701,540,848) = 80250480


Lets's calculate GCF of 346,213,745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80250480/1

Therefore the LCM of Fractions 701/346,540/213,848/745 is 80250480

Greatest Common Factor of 346,213,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,213,745 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 346,213,745 . The biggest common factor number is the GCF number.
So the greatest common factor 346,213,745 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 701/346, 540/213, 848/745

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 701/346, 540/213, 848/745?

Answer: LCM of Numerators as per given numbers 701/346, 540/213, 848/745 is

LCM of Numerators i.e. for 701,540,848 is 80250480

GCF of denominators i.e. for 346,213,745 is 1.

Thus, LCM of Fractions is 80250480.Finally, LCM of Fractions for 701/346, 540/213, 848/745 is 80250480.