Least Common Multiple of 70/205, 77/595, 277/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/205, 77/595, 277/337 quickly i.e. 213290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/205, 77/595, 277/337 is 213290.

LCM(70/205, 77/595, 277/337) = 213290

LCM of 70/205, 77/595, 277/337

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 70/205,77/595,277/337

Given numbers are 70/205,77/595,277/337

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 70,77,277

Least Common Multiple of Numerators i.e. LCM of 70,77,277 is 213290.

GCF of Denominators means GCF of 205,595,337 as per the given fractions.

GCF of 205,595,337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,77,277

LCM of Fractions 70/205,77/595,277/337 is 213290

7 70, 77, 277
10, 11, 277

∴ So the LCM of the given numbers is 7 x 10 x 11 x 277 = 213290

Least Common Multiple of 70,77,277 with GCF Formula

Least Common Multiple of 70,77,277 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 70,77,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,77,277) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(70,77,277) x common factors =1 x 7 = 7

LCM(70,77,277) = ( 70 × 77 × 277 ) / 7

LCM(70,77,277) = 1493030 / 7

LCM(70,77,277) = 213290


Lets's calculate GCF of 205,595,337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213290/1

Therefore the LCM of Fractions 70/205,77/595,277/337 is 213290

Greatest Common Factor of 205,595,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,595,337 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Greatest Common Factor

We found the factors 205,595,337 . The biggest common factor number is the GCF number.
So the greatest common factor 205,595,337 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 70/205, 77/595, 277/337

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 70/205, 77/595, 277/337?

Answer: LCM of Numerators as per given numbers 70/205, 77/595, 277/337 is

LCM of Numerators i.e. for 70,77,277 is 213290

GCF of denominators i.e. for 205,595,337 is 1.

Thus, LCM of Fractions is 213290.Finally, LCM of Fractions for 70/205, 77/595, 277/337 is 213290.