Least Common Multiple of 35/941, 602/747, 672/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 35/941, 602/747, 672/632 quickly i.e. 144480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/941, 602/747, 672/632 is 144480.

LCM(35/941, 602/747, 672/632) = 144480

LCM of 35/941, 602/747, 672/632

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 35/941,602/747,672/632

Given numbers are 35/941,602/747,672/632

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 35,602,672

Least Common Multiple of Numerators i.e. LCM of 35,602,672 is 144480.

GCF of Denominators means GCF of 941,747,632 as per the given fractions.

GCF of 941,747,632 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,602,672

LCM of Fractions 35/941,602/747,672/632 is 144480

2 35, 602, 672
7 35, 301, 336
5, 43, 48

∴ So the LCM of the given numbers is 2 x 7 x 5 x 43 x 48 = 144480

Least Common Multiple of 35,602,672 with GCF Formula

Least Common Multiple of 35,602,672 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 35,602,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,602,672) = 7

common factors(in case of two or more numbers have common factors) = 14

GCF(35,602,672) x common factors =7 x 14 = 98

LCM(35,602,672) = ( 35 × 602 × 672 ) / 98

LCM(35,602,672) = 14159040 / 98

LCM(35,602,672) = 144480


Lets's calculate GCF of 941,747,632

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144480/1

Therefore the LCM of Fractions 35/941,602/747,672/632 is 144480

Greatest Common Factor of 941,747,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 941,747,632 By Matching Biggest Common Factor Method

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 941,747,632 . The biggest common factor number is the GCF number.
So the greatest common factor 941,747,632 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 35/941, 602/747, 672/632

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 35/941, 602/747, 672/632?

Answer: LCM of Numerators as per given numbers 35/941, 602/747, 672/632 is

LCM of Numerators i.e. for 35,602,672 is 144480

GCF of denominators i.e. for 941,747,632 is 1.

Thus, LCM of Fractions is 144480.Finally, LCM of Fractions for 35/941, 602/747, 672/632 is 144480.