Least Common Multiple of 617/148, 8954/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 617/148, 8954/851 quickly i.e. 149314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 617/148, 8954/851 is 149314.

LCM(617/148, 8954/851) = 149314

LCM of 617/148, 8954/851

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 617/148,8954/851

Given numbers are 617/148,8954/851

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 617,8954

Least Common Multiple of Numerators i.e. LCM of 617,8954 is 5524618.

GCF of Denominators means GCF of 148,851 as per the given fractions.

GCF of 148,851 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 617,8954

LCM of Fractions 617/148,8954/851 is 149314

Given numbers has no common factors except 1. So, there LCM is their product i.e 5524618

Least Common Multiple of 617,8954 with GCF Formula

Least Common Multiple of 617,8954 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 617,8954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,8954) = 1

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

GCF(617,8954) x common factors =1 x 1 = 1

LCM(617,8954) = ( 617 × 8954 ) / 1

LCM(617,8954) = 5524618 / 1

LCM(617,8954) = 5524618


Lets's calculate GCF of 148,851

37 148, 851
4, 23

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5524618/37

Therefore the LCM of Fractions 617/148,8954/851 is 149314

Greatest Common Factor of 148,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,851 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 148,851 . The biggest common factor number is the GCF number.
So the greatest common factor 148,851 is 37.


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 617/148, 8954/851

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 617/148, 8954/851?

Answer: LCM of Numerators as per given numbers 617/148, 8954/851 is

LCM of Numerators i.e. for 617,8954 is 5524618

GCF of denominators i.e. for 148,851 is 37.

Thus, LCM of Fractions is 149314.Finally, LCM of Fractions for 617/148, 8954/851 is 149314.