Least Common Multiple of 34/758, 84/358, 975/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/758, 84/358, 975/740 quickly i.e. 232050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/758, 84/358, 975/740 is 232050.

LCM(34/758, 84/358, 975/740) = 232050

LCM of 34/758, 84/358, 975/740

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 34/758,84/358,975/740

Given numbers are 34/758,84/358,975/740

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 34,84,975

Least Common Multiple of Numerators i.e. LCM of 34,84,975 is 464100.

GCF of Denominators means GCF of 758,358,740 as per the given fractions.

GCF of 758,358,740 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,84,975

LCM of Fractions 34/758,84/358,975/740 is 232050

2 34, 84, 975
3 17, 42, 975
17, 14, 325

∴ So the LCM of the given numbers is 2 x 3 x 17 x 14 x 325 = 464100

Least Common Multiple of 34,84,975 with GCF Formula

Least Common Multiple of 34,84,975 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 34,84,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,84,975) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(34,84,975) x common factors =1 x 6 = 6

LCM(34,84,975) = ( 34 × 84 × 975 ) / 6

LCM(34,84,975) = 2784600 / 6

LCM(34,84,975) = 464100


Lets's calculate GCF of 758,358,740

2 758, 358, 740
379, 179, 370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464100/2

Therefore the LCM of Fractions 34/758,84/358,975/740 is 232050

Greatest Common Factor of 758,358,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,358,740 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 758,358,740 . The biggest common factor number is the GCF number.
So the greatest common factor 758,358,740 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 34/758, 84/358, 975/740

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 34/758, 84/358, 975/740?

Answer: LCM of Numerators as per given numbers 34/758, 84/358, 975/740 is

LCM of Numerators i.e. for 34,84,975 is 464100

GCF of denominators i.e. for 758,358,740 is 2.

Thus, LCM of Fractions is 232050.Finally, LCM of Fractions for 34/758, 84/358, 975/740 is 232050.