Least Common Multiple of 149/70, 386/94, 801/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/70, 386/94, 801/274 quickly i.e. 23034357 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/70, 386/94, 801/274 is 23034357.

LCM(149/70, 386/94, 801/274) = 23034357

LCM of 149/70, 386/94, 801/274

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 149/70,386/94,801/274

Given numbers are 149/70,386/94,801/274

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 149,386,801

Least Common Multiple of Numerators i.e. LCM of 149,386,801 is 46068714.

GCF of Denominators means GCF of 70,94,274 as per the given fractions.

GCF of 70,94,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,386,801

LCM of Fractions 149/70,386/94,801/274 is 23034357

Given numbers has no common factors except 1. So, there LCM is their product i.e 46068714

Least Common Multiple of 149,386,801 with GCF Formula

Least Common Multiple of 149,386,801 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 149,386,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,386,801) = 1

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

GCF(149,386,801) x common factors =1 x 1 = 1

LCM(149,386,801) = ( 149 × 386 × 801 ) / 1

LCM(149,386,801) = 46068714 / 1

LCM(149,386,801) = 46068714


Lets's calculate GCF of 70,94,274

2 70, 94, 274
35, 47, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46068714/2

Therefore the LCM of Fractions 149/70,386/94,801/274 is 23034357

Greatest Common Factor of 70,94,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,94,274 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 70,94,274 . The biggest common factor number is the GCF number.
So the greatest common factor 70,94,274 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 149/70, 386/94, 801/274

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 149/70, 386/94, 801/274?

Answer: LCM of Numerators as per given numbers 149/70, 386/94, 801/274 is

LCM of Numerators i.e. for 149,386,801 is 46068714

GCF of denominators i.e. for 70,94,274 is 2.

Thus, LCM of Fractions is 23034357.Finally, LCM of Fractions for 149/70, 386/94, 801/274 is 23034357.