Least Common Multiple of 734/67, 769/35, 884/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/67, 769/35, 884/70 quickly i.e. 249485132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/67, 769/35, 884/70 is 249485132.

LCM(734/67, 769/35, 884/70) = 249485132

LCM of 734/67, 769/35, 884/70

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 734/67,769/35,884/70

Given numbers are 734/67,769/35,884/70

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 734,769,884

Least Common Multiple of Numerators i.e. LCM of 734,769,884 is 249485132.

GCF of Denominators means GCF of 67,35,70 as per the given fractions.

GCF of 67,35,70 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,769,884

LCM of Fractions 734/67,769/35,884/70 is 249485132

2 734, 769, 884
367, 769, 442

∴ So the LCM of the given numbers is 2 x 367 x 769 x 442 = 249485132

Least Common Multiple of 734,769,884 with GCF Formula

Least Common Multiple of 734,769,884 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 734,769,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,769,884) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(734,769,884) x common factors =1 x 2 = 2

LCM(734,769,884) = ( 734 × 769 × 884 ) / 2

LCM(734,769,884) = 498970264 / 2

LCM(734,769,884) = 249485132


Lets's calculate GCF of 67,35,70

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249485132/1

Therefore the LCM of Fractions 734/67,769/35,884/70 is 249485132

Greatest Common Factor of 67,35,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,35,70 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Greatest Common Factor

We found the factors 67,35,70 . The biggest common factor number is the GCF number.
So the greatest common factor 67,35,70 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 734/67, 769/35, 884/70

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 734/67, 769/35, 884/70?

Answer: LCM of Numerators as per given numbers 734/67, 769/35, 884/70 is

LCM of Numerators i.e. for 734,769,884 is 249485132

GCF of denominators i.e. for 67,35,70 is 1.

Thus, LCM of Fractions is 249485132.Finally, LCM of Fractions for 734/67, 769/35, 884/70 is 249485132.