Least Common Multiple of 738/35, 926/79, 970/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/35, 926/79, 970/358 quickly i.e. 165721590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/35, 926/79, 970/358 is 165721590.

LCM(738/35, 926/79, 970/358) = 165721590

LCM of 738/35, 926/79, 970/358

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 738/35,926/79,970/358

Given numbers are 738/35,926/79,970/358

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 738,926,970

Least Common Multiple of Numerators i.e. LCM of 738,926,970 is 165721590.

GCF of Denominators means GCF of 35,79,358 as per the given fractions.

GCF of 35,79,358 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,926,970

LCM of Fractions 738/35,926/79,970/358 is 165721590

2 738, 926, 970
369, 463, 485

∴ So the LCM of the given numbers is 2 x 369 x 463 x 485 = 165721590

Least Common Multiple of 738,926,970 with GCF Formula

Least Common Multiple of 738,926,970 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 738,926,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,926,970) = 2

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

GCF(738,926,970) x common factors =2 x 2 = 4

LCM(738,926,970) = ( 738 × 926 × 970 ) / 4

LCM(738,926,970) = 662886360 / 4

LCM(738,926,970) = 165721590


Lets's calculate GCF of 35,79,358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165721590/1

Therefore the LCM of Fractions 738/35,926/79,970/358 is 165721590

Greatest Common Factor of 35,79,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,79,358 By Matching Biggest Common Factor Method

Factors of 35

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

1,5,7,35

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 358

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

1,2,179,358

Greatest Common Factor

We found the factors 35,79,358 . The biggest common factor number is the GCF number.
So the greatest common factor 35,79,358 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 738/35, 926/79, 970/358

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 738/35, 926/79, 970/358?

Answer: LCM of Numerators as per given numbers 738/35, 926/79, 970/358 is

LCM of Numerators i.e. for 738,926,970 is 165721590

GCF of denominators i.e. for 35,79,358 is 1.

Thus, LCM of Fractions is 165721590.Finally, LCM of Fractions for 738/35, 926/79, 970/358 is 165721590.