Least Common Multiple of 872/77, 651/62, 545/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/77, 651/62, 545/149 quickly i.e. 2838360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/77, 651/62, 545/149 is 2838360.

LCM(872/77, 651/62, 545/149) = 2838360

LCM of 872/77, 651/62, 545/149

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 872/77,651/62,545/149

Given numbers are 872/77,651/62,545/149

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 872,651,545

Least Common Multiple of Numerators i.e. LCM of 872,651,545 is 2838360.

GCF of Denominators means GCF of 77,62,149 as per the given fractions.

GCF of 77,62,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,651,545

LCM of Fractions 872/77,651/62,545/149 is 2838360

109 872, 651, 545
8, 651, 5

∴ So the LCM of the given numbers is 109 x 8 x 651 x 5 = 2838360

Least Common Multiple of 872,651,545 with GCF Formula

Least Common Multiple of 872,651,545 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 872,651,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,651,545) = 1

common factors(in case of two or more numbers have common factors) = 109

GCF(872,651,545) x common factors =1 x 109 = 109

LCM(872,651,545) = ( 872 × 651 × 545 ) / 109

LCM(872,651,545) = 309381240 / 109

LCM(872,651,545) = 2838360


Lets's calculate GCF of 77,62,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2838360/1

Therefore the LCM of Fractions 872/77,651/62,545/149 is 2838360

Greatest Common Factor of 77,62,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,62,149 By Matching Biggest Common Factor Method

Factors of 77

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

1,7,11,77

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 77,62,149 . The biggest common factor number is the GCF number.
So the greatest common factor 77,62,149 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 872/77, 651/62, 545/149

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 872/77, 651/62, 545/149?

Answer: LCM of Numerators as per given numbers 872/77, 651/62, 545/149 is

LCM of Numerators i.e. for 872,651,545 is 2838360

GCF of denominators i.e. for 77,62,149 is 1.

Thus, LCM of Fractions is 2838360.Finally, LCM of Fractions for 872/77, 651/62, 545/149 is 2838360.