Least Common Multiple of 245/69, 991/77, 820/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 245/69, 991/77, 820/547 quickly i.e. 39818380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 245/69, 991/77, 820/547 is 39818380.

LCM(245/69, 991/77, 820/547) = 39818380

LCM of 245/69, 991/77, 820/547

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 245/69,991/77,820/547

Given numbers are 245/69,991/77,820/547

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 245,991,820

Least Common Multiple of Numerators i.e. LCM of 245,991,820 is 39818380.

GCF of Denominators means GCF of 69,77,547 as per the given fractions.

GCF of 69,77,547 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 245,991,820

LCM of Fractions 245/69,991/77,820/547 is 39818380

5 245, 991, 820
49, 991, 164

∴ So the LCM of the given numbers is 5 x 49 x 991 x 164 = 39818380

Least Common Multiple of 245,991,820 with GCF Formula

Least Common Multiple of 245,991,820 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 245,991,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,991,820) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(245,991,820) x common factors =1 x 5 = 5

LCM(245,991,820) = ( 245 × 991 × 820 ) / 5

LCM(245,991,820) = 199091900 / 5

LCM(245,991,820) = 39818380


Lets's calculate GCF of 69,77,547

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39818380/1

Therefore the LCM of Fractions 245/69,991/77,820/547 is 39818380

Greatest Common Factor of 69,77,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,77,547 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 69,77,547 . The biggest common factor number is the GCF number.
So the greatest common factor 69,77,547 is 1.


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 245/69, 991/77, 820/547

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 245/69, 991/77, 820/547?

Answer: LCM of Numerators as per given numbers 245/69, 991/77, 820/547 is

LCM of Numerators i.e. for 245,991,820 is 39818380

GCF of denominators i.e. for 69,77,547 is 1.

Thus, LCM of Fractions is 39818380.Finally, LCM of Fractions for 245/69, 991/77, 820/547 is 39818380.