Least Common Multiple of 977/136, 718/288, 814/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 977/136, 718/288, 814/188 quickly i.e. 285504802/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/136, 718/288, 814/188 is 285504802/4.

LCM(977/136, 718/288, 814/188) = 285504802/4

LCM of 977/136, 718/288, 814/188

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 977/136,718/288,814/188

Given numbers are 977/136,718/288,814/188

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 977,718,814

Least Common Multiple of Numerators i.e. LCM of 977,718,814 is 285504802.

GCF of Denominators means GCF of 136,288,188 as per the given fractions.

GCF of 136,288,188 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,718,814

LCM of Fractions 977/136,718/288,814/188 is 285504802/4

2 977, 718, 814
977, 359, 407

∴ So the LCM of the given numbers is 2 x 977 x 359 x 407 = 285504802

Least Common Multiple of 977,718,814 with GCF Formula

Least Common Multiple of 977,718,814 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 977,718,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,718,814) = 1

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

GCF(977,718,814) x common factors =1 x 2 = 2

LCM(977,718,814) = ( 977 × 718 × 814 ) / 2

LCM(977,718,814) = 571009604 / 2

LCM(977,718,814) = 285504802


Lets's calculate GCF of 136,288,188

2 136, 288, 188
2 68, 144, 94
34, 72, 47

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285504802/4

Therefore the LCM of Fractions 977/136,718/288,814/188 is 285504802/4

Greatest Common Factor of 136,288,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,288,188 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 136,288,188 . The biggest common factor number is the GCF number.
So the greatest common factor 136,288,188 is 4.


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 977/136, 718/288, 814/188

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 977/136, 718/288, 814/188?

Answer: LCM of Numerators as per given numbers 977/136, 718/288, 814/188 is

LCM of Numerators i.e. for 977,718,814 is 285504802

GCF of denominators i.e. for 136,288,188 is 4.

Thus, LCM of Fractions is 285504802/4.Finally, LCM of Fractions for 977/136, 718/288, 814/188 is 285504802/4.