Least Common Multiple of 35/60, 869/22, 496/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/60, 869/22, 496/948 quickly i.e. 7542920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/60, 869/22, 496/948 is 7542920.

LCM(35/60, 869/22, 496/948) = 7542920

LCM of 35/60, 869/22, 496/948

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 35/60,869/22,496/948

Given numbers are 35/60,869/22,496/948

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 35,869,496

Least Common Multiple of Numerators i.e. LCM of 35,869,496 is 15085840.

GCF of Denominators means GCF of 60,22,948 as per the given fractions.

GCF of 60,22,948 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,869,496

LCM of Fractions 35/60,869/22,496/948 is 7542920

Given numbers has no common factors except 1. So, there LCM is their product i.e 15085840

Least Common Multiple of 35,869,496 with GCF Formula

Least Common Multiple of 35,869,496 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 35,869,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,869,496) = 1

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

GCF(35,869,496) x common factors =1 x 1 = 1

LCM(35,869,496) = ( 35 × 869 × 496 ) / 1

LCM(35,869,496) = 15085840 / 1

LCM(35,869,496) = 15085840


Lets's calculate GCF of 60,22,948

2 60, 22, 948
30, 11, 474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15085840/2

Therefore the LCM of Fractions 35/60,869/22,496/948 is 7542920

Greatest Common Factor of 60,22,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,22,948 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 60,22,948 . The biggest common factor number is the GCF number.
So the greatest common factor 60,22,948 is 2.


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 35/60, 869/22, 496/948

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 35/60, 869/22, 496/948?

Answer: LCM of Numerators as per given numbers 35/60, 869/22, 496/948 is

LCM of Numerators i.e. for 35,869,496 is 15085840

GCF of denominators i.e. for 60,22,948 is 2.

Thus, LCM of Fractions is 7542920.Finally, LCM of Fractions for 35/60, 869/22, 496/948 is 7542920.