Least Common Multiple of 6790/920, 7557/8216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6790/920, 7557/8216 quickly i.e. 51312030/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6790/920, 7557/8216 is 51312030/8.

LCM(6790/920, 7557/8216) = 51312030/8

LCM of 6790/920, 7557/8216

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 6790/920,7557/8216

Given numbers are 6790/920,7557/8216

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 6790,7557

Least Common Multiple of Numerators i.e. LCM of 6790,7557 is 51312030.

GCF of Denominators means GCF of 920,8216 as per the given fractions.

GCF of 920,8216 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6790,7557

LCM of Fractions 6790/920,7557/8216 is 51312030/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 51312030

Least Common Multiple of 6790,7557 with GCF Formula

Least Common Multiple of 6790,7557 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 6790,7557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6790,7557) = 1

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

GCF(6790,7557) x common factors =1 x 1 = 1

LCM(6790,7557) = ( 6790 × 7557 ) / 1

LCM(6790,7557) = 51312030 / 1

LCM(6790,7557) = 51312030


Lets's calculate GCF of 920,8216

2 920, 8216
2 460, 4108
2 230, 2054
115, 1027

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51312030/8

Therefore the LCM of Fractions 6790/920,7557/8216 is 51312030/8

Greatest Common Factor of 920,8216 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,8216 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 8216

List of positive integer factors of 8216 that divides 8216 without a remainder.

1,2,4,8,13,26,52,79,104,158,316,632,1027,2054,4108,8216

Greatest Common Factor

We found the factors 920,8216 . The biggest common factor number is the GCF number.
So the greatest common factor 920,8216 is 8.


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 6790/920, 7557/8216

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 6790/920, 7557/8216?

Answer: LCM of Numerators as per given numbers 6790/920, 7557/8216 is

LCM of Numerators i.e. for 6790,7557 is 51312030

GCF of denominators i.e. for 920,8216 is 8.

Thus, LCM of Fractions is 51312030/8.Finally, LCM of Fractions for 6790/920, 7557/8216 is 51312030/8.