Least Common Multiple of 988/78, 980/8512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 988/78, 980/8512 quickly i.e. 121030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/78, 980/8512 is 121030.

LCM(988/78, 980/8512) = 121030

LCM of 988/78, 980/8512

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 988/78,980/8512

Given numbers are 988/78,980/8512

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 988,980

Least Common Multiple of Numerators i.e. LCM of 988,980 is 242060.

GCF of Denominators means GCF of 78,8512 as per the given fractions.

GCF of 78,8512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,980

LCM of Fractions 988/78,980/8512 is 121030

2 988, 980
2 494, 490
247, 245

∴ So the LCM of the given numbers is 2 x 2 x 247 x 245 = 242060

Least Common Multiple of 988,980 with GCF Formula

Least Common Multiple of 988,980 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 988,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,980) = 4

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

GCF(988,980) x common factors =4 x 1 = 4

LCM(988,980) = ( 988 × 980 ) / 4

LCM(988,980) = 968240 / 4

LCM(988,980) = 242060


Lets's calculate GCF of 78,8512

2 78, 8512
39, 4256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242060/2

Therefore the LCM of Fractions 988/78,980/8512 is 121030

Greatest Common Factor of 78,8512 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,8512 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 8512

List of positive integer factors of 8512 that divides 8512 without a remainder.

1,2,4,7,8,14,16,19,28,32,38,56,64,76,112,133,152,224,266,304,448,532,608,1064,1216,2128,4256,8512

Greatest Common Factor

We found the factors 78,8512 . The biggest common factor number is the GCF number.
So the greatest common factor 78,8512 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 988/78, 980/8512

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 988/78, 980/8512?

Answer: LCM of Numerators as per given numbers 988/78, 980/8512 is

LCM of Numerators i.e. for 988,980 is 242060

GCF of denominators i.e. for 78,8512 is 2.

Thus, LCM of Fractions is 121030.Finally, LCM of Fractions for 988/78, 980/8512 is 121030.