Least Common Multiple of 149/898, 772/195, 451/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/898, 772/195, 451/692 quickly i.e. 51877628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/898, 772/195, 451/692 is 51877628.

LCM(149/898, 772/195, 451/692) = 51877628

LCM of 149/898, 772/195, 451/692

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 149/898,772/195,451/692

Given numbers are 149/898,772/195,451/692

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 149,772,451

Least Common Multiple of Numerators i.e. LCM of 149,772,451 is 51877628.

GCF of Denominators means GCF of 898,195,692 as per the given fractions.

GCF of 898,195,692 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,772,451

LCM of Fractions 149/898,772/195,451/692 is 51877628

Given numbers has no common factors except 1. So, there LCM is their product i.e 51877628

Least Common Multiple of 149,772,451 with GCF Formula

Least Common Multiple of 149,772,451 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 149,772,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,772,451) = 1

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

GCF(149,772,451) x common factors =1 x 1 = 1

LCM(149,772,451) = ( 149 × 772 × 451 ) / 1

LCM(149,772,451) = 51877628 / 1

LCM(149,772,451) = 51877628


Lets's calculate GCF of 898,195,692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51877628/1

Therefore the LCM of Fractions 149/898,772/195,451/692 is 51877628

Greatest Common Factor of 898,195,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,195,692 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 898,195,692 . The biggest common factor number is the GCF number.
So the greatest common factor 898,195,692 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 149/898, 772/195, 451/692

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 149/898, 772/195, 451/692?

Answer: LCM of Numerators as per given numbers 149/898, 772/195, 451/692 is

LCM of Numerators i.e. for 149,772,451 is 51877628

GCF of denominators i.e. for 898,195,692 is 1.

Thus, LCM of Fractions is 51877628.Finally, LCM of Fractions for 149/898, 772/195, 451/692 is 51877628.