Least Common Multiple of 61/277, 261/514, 645/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/277, 261/514, 645/276 quickly i.e. 3423015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/277, 261/514, 645/276 is 3423015.

LCM(61/277, 261/514, 645/276) = 3423015

LCM of 61/277, 261/514, 645/276

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 61/277,261/514,645/276

Given numbers are 61/277,261/514,645/276

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 61,261,645

Least Common Multiple of Numerators i.e. LCM of 61,261,645 is 3423015.

GCF of Denominators means GCF of 277,514,276 as per the given fractions.

GCF of 277,514,276 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,261,645

LCM of Fractions 61/277,261/514,645/276 is 3423015

3 61, 261, 645
61, 87, 215

∴ So the LCM of the given numbers is 3 x 61 x 87 x 215 = 3423015

Least Common Multiple of 61,261,645 with GCF Formula

Least Common Multiple of 61,261,645 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 61,261,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,261,645) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(61,261,645) x common factors =1 x 3 = 3

LCM(61,261,645) = ( 61 × 261 × 645 ) / 3

LCM(61,261,645) = 10269045 / 3

LCM(61,261,645) = 3423015


Lets's calculate GCF of 277,514,276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3423015/1

Therefore the LCM of Fractions 61/277,261/514,645/276 is 3423015

Greatest Common Factor of 277,514,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,514,276 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 277,514,276 . The biggest common factor number is the GCF number.
So the greatest common factor 277,514,276 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 61/277, 261/514, 645/276

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 61/277, 261/514, 645/276?

Answer: LCM of Numerators as per given numbers 61/277, 261/514, 645/276 is

LCM of Numerators i.e. for 61,261,645 is 3423015

GCF of denominators i.e. for 277,514,276 is 1.

Thus, LCM of Fractions is 3423015.Finally, LCM of Fractions for 61/277, 261/514, 645/276 is 3423015.