Least Common Multiple of 77/70, 60/60, 214/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/70, 60/60, 214/510 quickly i.e. 49434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/70, 60/60, 214/510 is 49434.

LCM(77/70, 60/60, 214/510) = 49434

LCM of 77/70, 60/60, 214/510

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 77/70,60/60,214/510

Given numbers are 77/70,60/60,214/510

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 77,60,214

Least Common Multiple of Numerators i.e. LCM of 77,60,214 is 494340.

GCF of Denominators means GCF of 70,60,510 as per the given fractions.

GCF of 70,60,510 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,60,214

LCM of Fractions 77/70,60/60,214/510 is 49434

2 77, 60, 214
77, 30, 107

∴ So the LCM of the given numbers is 2 x 77 x 30 x 107 = 494340

Least Common Multiple of 77,60,214 with GCF Formula

Least Common Multiple of 77,60,214 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 77,60,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,60,214) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(77,60,214) x common factors =1 x 2 = 2

LCM(77,60,214) = ( 77 × 60 × 214 ) / 2

LCM(77,60,214) = 988680 / 2

LCM(77,60,214) = 494340


Lets's calculate GCF of 70,60,510

2 70, 60, 510
5 35, 30, 255
7, 6, 51

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 494340/10

Therefore the LCM of Fractions 77/70,60/60,214/510 is 49434

Greatest Common Factor of 70,60,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,60,510 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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 70,60,510 . The biggest common factor number is the GCF number.
So the greatest common factor 70,60,510 is 10.


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 77/70, 60/60, 214/510

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 77/70, 60/60, 214/510?

Answer: LCM of Numerators as per given numbers 77/70, 60/60, 214/510 is

LCM of Numerators i.e. for 77,60,214 is 494340

GCF of denominators i.e. for 70,60,510 is 10.

Thus, LCM of Fractions is 49434.Finally, LCM of Fractions for 77/70, 60/60, 214/510 is 49434.