Least Common Multiple of 6855/308, 6920/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6855/308, 6920/316 quickly i.e. 2371830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6855/308, 6920/316 is 2371830.

LCM(6855/308, 6920/316) = 2371830

LCM of 6855/308, 6920/316

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 6855/308,6920/316

Given numbers are 6855/308,6920/316

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 6855,6920

Least Common Multiple of Numerators i.e. LCM of 6855,6920 is 9487320.

GCF of Denominators means GCF of 308,316 as per the given fractions.

GCF of 308,316 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6855,6920

LCM of Fractions 6855/308,6920/316 is 2371830

5 6855, 6920
1371, 1384

∴ So the LCM of the given numbers is 5 x 1371 x 1384 = 9487320

Least Common Multiple of 6855,6920 with GCF Formula

Least Common Multiple of 6855,6920 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 6855,6920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6855,6920) = 5

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

GCF(6855,6920) x common factors =5 x 1 = 5

LCM(6855,6920) = ( 6855 × 6920 ) / 5

LCM(6855,6920) = 47436600 / 5

LCM(6855,6920) = 9487320


Lets's calculate GCF of 308,316

2 308, 316
2 154, 158
77, 79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9487320/4

Therefore the LCM of Fractions 6855/308,6920/316 is 2371830

Greatest Common Factor of 308,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,316 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 308,316 . The biggest common factor number is the GCF number.
So the greatest common factor 308,316 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 6855/308, 6920/316

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 6855/308, 6920/316?

Answer: LCM of Numerators as per given numbers 6855/308, 6920/316 is

LCM of Numerators i.e. for 6855,6920 is 9487320

GCF of denominators i.e. for 308,316 is 4.

Thus, LCM of Fractions is 2371830.Finally, LCM of Fractions for 6855/308, 6920/316 is 2371830.