Least Common Multiple of 70/602, 49/698, 829/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/602, 49/698, 829/746 quickly i.e. 203105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/602, 49/698, 829/746 is 203105.

LCM(70/602, 49/698, 829/746) = 203105

LCM of 70/602, 49/698, 829/746

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 70/602,49/698,829/746

Given numbers are 70/602,49/698,829/746

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 70,49,829

Least Common Multiple of Numerators i.e. LCM of 70,49,829 is 406210.

GCF of Denominators means GCF of 602,698,746 as per the given fractions.

GCF of 602,698,746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,49,829

LCM of Fractions 70/602,49/698,829/746 is 203105

7 70, 49, 829
10, 7, 829

∴ So the LCM of the given numbers is 7 x 10 x 7 x 829 = 406210

Least Common Multiple of 70,49,829 with GCF Formula

Least Common Multiple of 70,49,829 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 70,49,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,49,829) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(70,49,829) x common factors =1 x 7 = 7

LCM(70,49,829) = ( 70 × 49 × 829 ) / 7

LCM(70,49,829) = 2843470 / 7

LCM(70,49,829) = 406210


Lets's calculate GCF of 602,698,746

2 602, 698, 746
301, 349, 373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406210/2

Therefore the LCM of Fractions 70/602,49/698,829/746 is 203105

Greatest Common Factor of 602,698,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,698,746 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 602,698,746 . The biggest common factor number is the GCF number.
So the greatest common factor 602,698,746 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 70/602, 49/698, 829/746

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 70/602, 49/698, 829/746?

Answer: LCM of Numerators as per given numbers 70/602, 49/698, 829/746 is

LCM of Numerators i.e. for 70,49,829 is 406210

GCF of denominators i.e. for 602,698,746 is 2.

Thus, LCM of Fractions is 203105.Finally, LCM of Fractions for 70/602, 49/698, 829/746 is 203105.