Least Common Multiple of 701/954, 796/760, 347/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 701/954, 796/760, 347/310 quickly i.e. 96812306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 701/954, 796/760, 347/310 is 96812306.

LCM(701/954, 796/760, 347/310) = 96812306

LCM of 701/954, 796/760, 347/310

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 701/954,796/760,347/310

Given numbers are 701/954,796/760,347/310

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 701,796,347

Least Common Multiple of Numerators i.e. LCM of 701,796,347 is 193624612.

GCF of Denominators means GCF of 954,760,310 as per the given fractions.

GCF of 954,760,310 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 701,796,347

LCM of Fractions 701/954,796/760,347/310 is 96812306

Given numbers has no common factors except 1. So, there LCM is their product i.e 193624612

Least Common Multiple of 701,796,347 with GCF Formula

Least Common Multiple of 701,796,347 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 701,796,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,796,347) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(701,796,347) x common factors =1 x 1 = 1

LCM(701,796,347) = ( 701 × 796 × 347 ) / 1

LCM(701,796,347) = 193624612 / 1

LCM(701,796,347) = 193624612


Lets's calculate GCF of 954,760,310

2 954, 760, 310
477, 380, 155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193624612/2

Therefore the LCM of Fractions 701/954,796/760,347/310 is 96812306

Greatest Common Factor of 954,760,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,760,310 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 954,760,310 . The biggest common factor number is the GCF number.
So the greatest common factor 954,760,310 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 701/954, 796/760, 347/310

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 701/954, 796/760, 347/310?

Answer: LCM of Numerators as per given numbers 701/954, 796/760, 347/310 is

LCM of Numerators i.e. for 701,796,347 is 193624612

GCF of denominators i.e. for 954,760,310 is 2.

Thus, LCM of Fractions is 96812306.Finally, LCM of Fractions for 701/954, 796/760, 347/310 is 96812306.